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Finding the Fourth Proportional to 148.48, 221.02 and 146.32

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Solution

The fourth proportional to 148.48, 221.02 and 146.32 is: 217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.48 : 221.02 = 146.32 : x
  2. Step 2: Convert to fraction form
    148.48/221.02 = 146.32/x
  3. Step 3: Cross multiply
    148.48x = 221.02 × 146.32
  4. Step 4: Simplify right side
    148.48x = 32,339.65
  5. Step 5: Solve for x
    x = 32,339.65/148.48
  6. Step 6: Final answer
    x = 217.80

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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.