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Finding the Fourth Proportional to 517.38, 775.84 and 152.08

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Solution

The fourth proportional to 517.38, 775.84 and 152.08 is: 228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 775.84 = 152.08 : x
  2. Step 2: Convert to fraction form
    517.38/775.84 = 152.08/x
  3. Step 3: Cross multiply
    517.38x = 775.84 × 152.08
  4. Step 4: Simplify right side
    517.38x = 117,989.75
  5. Step 5: Solve for x
    x = 117,989.75/517.38
  6. Step 6: Final answer
    x = 228.05

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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.