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Finding the Fourth Proportional to 159.32, 219.66 and 146.96

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Solution

The fourth proportional to 159.32, 219.66 and 146.96 is: 202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.32 : 219.66 = 146.96 : x
  2. Step 2: Convert to fraction form
    159.32/219.66 = 146.96/x
  3. Step 3: Cross multiply
    159.32x = 219.66 × 146.96
  4. Step 4: Simplify right side
    159.32x = 32,281.23
  5. Step 5: Solve for x
    x = 32,281.23/159.32
  6. Step 6: Final answer
    x = 202.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.