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Finding the Fourth Proportional to 159.28, 237.68 and 146.32

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Solution

The fourth proportional to 159.28, 237.68 and 146.32 is: 218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.28 : 237.68 = 146.32 : x
  2. Step 2: Convert to fraction form
    159.28/237.68 = 146.32/x
  3. Step 3: Cross multiply
    159.28x = 237.68 × 146.32
  4. Step 4: Simplify right side
    159.28x = 34,776.01
  5. Step 5: Solve for x
    x = 34,776.01/159.28
  6. Step 6: Final answer
    x = 218.34

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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.