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Finding the Fourth Proportional to 566.06, 849.00 and 155.10

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Solution

The fourth proportional to 566.06, 849.00 and 155.10 is: 232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 849.00 = 155.10 : x
  2. Step 2: Convert to fraction form
    566.06/849.00 = 155.10/x
  3. Step 3: Cross multiply
    566.06x = 849.00 × 155.10
  4. Step 4: Simplify right side
    566.06x = 131,679.81
  5. Step 5: Solve for x
    x = 131,679.81/566.06
  6. Step 6: Final answer
    x = 232.63

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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.