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Finding the Fourth Proportional to 148.32, 221.65 and 130.10

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Solution

The fourth proportional to 148.32, 221.65 and 130.10 is: 194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.32 : 221.65 = 130.10 : x
  2. Step 2: Convert to fraction form
    148.32/221.65 = 130.10/x
  3. Step 3: Cross multiply
    148.32x = 221.65 × 130.10
  4. Step 4: Simplify right side
    148.32x = 28,835.23
  5. Step 5: Solve for x
    x = 28,835.23/148.32
  6. Step 6: Final answer
    x = 194.41

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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.