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Finding the Fourth Proportional to 159.87, 220.32 and 146.91

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Solution

The fourth proportional to 159.87, 220.32 and 146.91 is: 202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.87 : 220.32 = 146.91 : x
  2. Step 2: Convert to fraction form
    159.87/220.32 = 146.91/x
  3. Step 3: Cross multiply
    159.87x = 220.32 × 146.91
  4. Step 4: Simplify right side
    159.87x = 32,368.04
  5. Step 5: Solve for x
    x = 32,368.04/159.87
  6. Step 6: Final answer
    x = 202.46

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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.