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Finding the Fourth Proportional to 159.64, 238.13 and 140.35

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Solution

The fourth proportional to 159.64, 238.13 and 140.35 is: 209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 238.13 = 140.35 : x
  2. Step 2: Convert to fraction form
    159.64/238.13 = 140.35/x
  3. Step 3: Cross multiply
    159.64x = 238.13 × 140.35
  4. Step 4: Simplify right side
    159.64x = 33,421.55
  5. Step 5: Solve for x
    x = 33,421.55/159.64
  6. Step 6: Final answer
    x = 209.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.