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Finding the Fourth Proportional to 349.77, 523.58 and 187.05

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Solution

The fourth proportional to 349.77, 523.58 and 187.05 is: 280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.77 : 523.58 = 187.05 : x
  2. Step 2: Convert to fraction form
    349.77/523.58 = 187.05/x
  3. Step 3: Cross multiply
    349.77x = 523.58 × 187.05
  4. Step 4: Simplify right side
    349.77x = 97,934.70
  5. Step 5: Solve for x
    x = 97,934.70/349.77
  6. Step 6: Final answer
    x = 280.00

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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.