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Finding the Fourth Proportional to 159, 239.70 and 145.62

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Solution

The fourth proportional to 159, 239.70 and 145.62 is: 219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 239.70 = 145.62 : x
  2. Step 2: Convert to fraction form
    159/239.70 = 145.62/x
  3. Step 3: Cross multiply
    159x = 239.70 × 145.62
  4. Step 4: Simplify right side
    159x = 34,905.11
  5. Step 5: Solve for x
    x = 34,905.11/159
  6. Step 6: Final answer
    x = 219.53

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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.