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Finding the Fourth Proportional to 562.99, 844.48 and 140.84

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Solution

The fourth proportional to 562.99, 844.48 and 140.84 is: 211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.99 : 844.48 = 140.84 : x
  2. Step 2: Convert to fraction form
    562.99/844.48 = 140.84/x
  3. Step 3: Cross multiply
    562.99x = 844.48 × 140.84
  4. Step 4: Simplify right side
    562.99x = 118,935.86
  5. Step 5: Solve for x
    x = 118,935.86/562.99
  6. Step 6: Final answer
    x = 211.26

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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.