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Finding the Fourth Proportional to 158.40, 236.30 and 140.40

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Solution

The fourth proportional to 158.40, 236.30 and 140.40 is: 209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.40 : 236.30 = 140.40 : x
  2. Step 2: Convert to fraction form
    158.40/236.30 = 140.40/x
  3. Step 3: Cross multiply
    158.40x = 236.30 × 140.40
  4. Step 4: Simplify right side
    158.40x = 33,175.82
  5. Step 5: Solve for x
    x = 33,175.82/158.40
  6. Step 6: Final answer
    x = 209.44

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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.