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Finding the Fourth Proportional to 517.38, 775.99 and 152.10

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Solution

The fourth proportional to 517.38, 775.99 and 152.10 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 775.99 = 152.10 : x
  2. Step 2: Convert to fraction form
    517.38/775.99 = 152.10/x
  3. Step 3: Cross multiply
    517.38x = 775.99 × 152.10
  4. Step 4: Simplify right side
    517.38x = 118,028.08
  5. Step 5: Solve for x
    x = 118,028.08/517.38
  6. Step 6: Final answer
    x = 228.13

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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.