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Finding the Fourth Proportional to 154.69, 230.72 and 130.47

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Solution

The fourth proportional to 154.69, 230.72 and 130.47 is: 194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.69 : 230.72 = 130.47 : x
  2. Step 2: Convert to fraction form
    154.69/230.72 = 130.47/x
  3. Step 3: Cross multiply
    154.69x = 230.72 × 130.47
  4. Step 4: Simplify right side
    154.69x = 30,102.04
  5. Step 5: Solve for x
    x = 30,102.04/154.69
  6. Step 6: Final answer
    x = 194.60

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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.