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Finding the Fourth Proportional to 159.69, 237.63 and 159.15

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Solution

The fourth proportional to 159.69, 237.63 and 159.15 is: 236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.69 : 237.63 = 159.15 : x
  2. Step 2: Convert to fraction form
    159.69/237.63 = 159.15/x
  3. Step 3: Cross multiply
    159.69x = 237.63 × 159.15
  4. Step 4: Simplify right side
    159.69x = 37,818.02
  5. Step 5: Solve for x
    x = 37,818.02/159.69
  6. Step 6: Final answer
    x = 236.82

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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.