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Finding the Fourth Proportional to 148.32, 223.67 and 145.59

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Solution

The fourth proportional to 148.32, 223.67 and 145.59 is: 219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.32 : 223.67 = 145.59 : x
  2. Step 2: Convert to fraction form
    148.32/223.67 = 145.59/x
  3. Step 3: Cross multiply
    148.32x = 223.67 × 145.59
  4. Step 4: Simplify right side
    148.32x = 32,563.39
  5. Step 5: Solve for x
    x = 32,563.39/148.32
  6. Step 6: Final answer
    x = 219.55

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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.