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Finding the Fourth Proportional to 372.82, 559.17 and 98.93

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Solution

The fourth proportional to 372.82, 559.17 and 98.93 is: 148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.82 : 559.17 = 98.93 : x
  2. Step 2: Convert to fraction form
    372.82/559.17 = 98.93/x
  3. Step 3: Cross multiply
    372.82x = 559.17 × 98.93
  4. Step 4: Simplify right side
    372.82x = 55,315.40
  5. Step 5: Solve for x
    x = 55,315.40/372.82
  6. Step 6: Final answer
    x = 148.37

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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.