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Finding the Fourth Proportional to 159.87, 238.16 and 149.91

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Solution

The fourth proportional to 159.87, 238.16 and 149.91 is: 223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.87 : 238.16 = 149.91 : x
  2. Step 2: Convert to fraction form
    159.87/238.16 = 149.91/x
  3. Step 3: Cross multiply
    159.87x = 238.16 × 149.91
  4. Step 4: Simplify right side
    159.87x = 35,701.82
  5. Step 5: Solve for x
    x = 35,701.82/159.87
  6. Step 6: Final answer
    x = 223.32

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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.