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Finding the Fourth Proportional to 697.06, 1,045.60 and 184.06

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Solution

The fourth proportional to 697.06, 1,045.60 and 184.06 is: 276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.06 : 1,045.60 = 184.06 : x
  2. Step 2: Convert to fraction form
    697.06/1,045.60 = 184.06/x
  3. Step 3: Cross multiply
    697.06x = 1,045.60 × 184.06
  4. Step 4: Simplify right side
    697.06x = 192,453.14
  5. Step 5: Solve for x
    x = 192,453.14/697.06
  6. Step 6: Final answer
    x = 276.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.