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Finding the Fourth Proportional to 147.69, 220.14 and 146.16

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Solution

The fourth proportional to 147.69, 220.14 and 146.16 is: 217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.69 : 220.14 = 146.16 : x
  2. Step 2: Convert to fraction form
    147.69/220.14 = 146.16/x
  3. Step 3: Cross multiply
    147.69x = 220.14 × 146.16
  4. Step 4: Simplify right side
    147.69x = 32,175.66
  5. Step 5: Solve for x
    x = 32,175.66/147.69
  6. Step 6: Final answer
    x = 217.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.