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Finding the Fourth Proportional to 147.46, 220.77 and 99.28

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Solution

The fourth proportional to 147.46, 220.77 and 99.28 is: 148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.46 : 220.77 = 99.28 : x
  2. Step 2: Convert to fraction form
    147.46/220.77 = 99.28/x
  3. Step 3: Cross multiply
    147.46x = 220.77 × 99.28
  4. Step 4: Simplify right side
    147.46x = 21,918.05
  5. Step 5: Solve for x
    x = 21,918.05/147.46
  6. Step 6: Final answer
    x = 148.64

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Why These Related Problems?

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