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Finding the Fourth Proportional to 561.90, 842.90 and 237.22

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Solution

The fourth proportional to 561.90, 842.90 and 237.22 is: 355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.90 : 842.90 = 237.22 : x
  2. Step 2: Convert to fraction form
    561.90/842.90 = 237.22/x
  3. Step 3: Cross multiply
    561.90x = 842.90 × 237.22
  4. Step 4: Simplify right side
    561.90x = 199,952.74
  5. Step 5: Solve for x
    x = 199,952.74/561.90
  6. Step 6: Final answer
    x = 355.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.