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Finding the Fourth Proportional to 147.62, 220.98 and 117.55

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Solution

The fourth proportional to 147.62, 220.98 and 117.55 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.62 : 220.98 = 117.55 : x
  2. Step 2: Convert to fraction form
    147.62/220.98 = 117.55/x
  3. Step 3: Cross multiply
    147.62x = 220.98 × 117.55
  4. Step 4: Simplify right side
    147.62x = 25,976.25
  5. Step 5: Solve for x
    x = 25,976.25/147.62
  6. Step 6: Final answer
    x = 175.96

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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.