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Finding the Fourth Proportional to 527.13, 790.74 and 137.14

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Solution

The fourth proportional to 527.13, 790.74 and 137.14 is: 205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.13 : 790.74 = 137.14 : x
  2. Step 2: Convert to fraction form
    527.13/790.74 = 137.14/x
  3. Step 3: Cross multiply
    527.13x = 790.74 × 137.14
  4. Step 4: Simplify right side
    527.13x = 108,439.52
  5. Step 5: Solve for x
    x = 108,439.52/527.13
  6. Step 6: Final answer
    x = 205.72

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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.