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Finding the Fourth Proportional to 372.51, 558.90 and 177.57

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Solution

The fourth proportional to 372.51, 558.90 and 177.57 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.51 : 558.90 = 177.57 : x
  2. Step 2: Convert to fraction form
    372.51/558.90 = 177.57/x
  3. Step 3: Cross multiply
    372.51x = 558.90 × 177.57
  4. Step 4: Simplify right side
    372.51x = 99,243.87
  5. Step 5: Solve for x
    x = 99,243.87/372.51
  6. Step 6: Final answer
    x = 266.42

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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.