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Finding the Fourth Proportional to 517.06, 775.89 and 188.10

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Solution

The fourth proportional to 517.06, 775.89 and 188.10 is: 282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.06 : 775.89 = 188.10 : x
  2. Step 2: Convert to fraction form
    517.06/775.89 = 188.10/x
  3. Step 3: Cross multiply
    517.06x = 775.89 × 188.10
  4. Step 4: Simplify right side
    517.06x = 145,944.91
  5. Step 5: Solve for x
    x = 145,944.91/517.06
  6. Step 6: Final answer
    x = 282.26

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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.