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Finding the Fourth Proportional to 440.74, 661.14 and 116.10

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Solution

The fourth proportional to 440.74, 661.14 and 116.10 is: 174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.74 : 661.14 = 116.10 : x
  2. Step 2: Convert to fraction form
    440.74/661.14 = 116.10/x
  3. Step 3: Cross multiply
    440.74x = 661.14 × 116.10
  4. Step 4: Simplify right side
    440.74x = 76,754.47
  5. Step 5: Solve for x
    x = 76,754.47/440.74
  6. Step 6: Final answer
    x = 174.15

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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.