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Finding the Fourth Proportional to 159.02, 237.18 and 137.09

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Solution

The fourth proportional to 159.02, 237.18 and 137.09 is: 204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.02 : 237.18 = 137.09 : x
  2. Step 2: Convert to fraction form
    159.02/237.18 = 137.09/x
  3. Step 3: Cross multiply
    159.02x = 237.18 × 137.09
  4. Step 4: Simplify right side
    159.02x = 32,514.32
  5. Step 5: Solve for x
    x = 32,514.32/159.02
  6. Step 6: Final answer
    x = 204.47

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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.