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Finding the Fourth Proportional to 517.32, 775.99 and 152.12

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Solution

The fourth proportional to 517.32, 775.99 and 152.12 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.32 : 775.99 = 152.12 : x
  2. Step 2: Convert to fraction form
    517.32/775.99 = 152.12/x
  3. Step 3: Cross multiply
    517.32x = 775.99 × 152.12
  4. Step 4: Simplify right side
    517.32x = 118,039.34
  5. Step 5: Solve for x
    x = 118,039.34/517.32
  6. Step 6: Final answer
    x = 228.17

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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.