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Finding the Fourth Proportional to 151.19, 208.20 and 130.40

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Solution

The fourth proportional to 151.19, 208.20 and 130.40 is: 179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.19 : 208.20 = 130.40 : x
  2. Step 2: Convert to fraction form
    151.19/208.20 = 130.40/x
  3. Step 3: Cross multiply
    151.19x = 208.20 × 130.40
  4. Step 4: Simplify right side
    151.19x = 27,149.28
  5. Step 5: Solve for x
    x = 27,149.28/151.19
  6. Step 6: Final answer
    x = 179.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.