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Finding the Fourth Proportional to 148.30, 224.13 and 146.68

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Solution

The fourth proportional to 148.30, 224.13 and 146.68 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.30 : 224.13 = 146.68 : x
  2. Step 2: Convert to fraction form
    148.30/224.13 = 146.68/x
  3. Step 3: Cross multiply
    148.30x = 224.13 × 146.68
  4. Step 4: Simplify right side
    148.30x = 32,875.39
  5. Step 5: Solve for x
    x = 32,875.39/148.30
  6. Step 6: Final answer
    x = 221.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.