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Finding the Fourth Proportional to 153.40, 231.02 and 139.12

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Solution

The fourth proportional to 153.40, 231.02 and 139.12 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.40 : 231.02 = 139.12 : x
  2. Step 2: Convert to fraction form
    153.40/231.02 = 139.12/x
  3. Step 3: Cross multiply
    153.40x = 231.02 × 139.12
  4. Step 4: Simplify right side
    153.40x = 32,139.50
  5. Step 5: Solve for x
    x = 32,139.50/153.40
  6. Step 6: Final answer
    x = 209.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.