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Finding the Fourth Proportional to 372.50, 558.61 and 177.49

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Solution

The fourth proportional to 372.50, 558.61 and 177.49 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.50 : 558.61 = 177.49 : x
  2. Step 2: Convert to fraction form
    372.50/558.61 = 177.49/x
  3. Step 3: Cross multiply
    372.50x = 558.61 × 177.49
  4. Step 4: Simplify right side
    372.50x = 99,148.94
  5. Step 5: Solve for x
    x = 99,148.94/372.50
  6. Step 6: Final answer
    x = 266.17

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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.