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Finding the Fourth Proportional to 158.10, 237.60 and 138.30

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Solution

The fourth proportional to 158.10, 237.60 and 138.30 is: 207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.10 : 237.60 = 138.30 : x
  2. Step 2: Convert to fraction form
    158.10/237.60 = 138.30/x
  3. Step 3: Cross multiply
    158.10x = 237.60 × 138.30
  4. Step 4: Simplify right side
    158.10x = 32,860.08
  5. Step 5: Solve for x
    x = 32,860.08/158.10
  6. Step 6: Final answer
    x = 207.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.