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Finding the Fourth Proportional to 146.60, 202.14 and 130.20

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Solution

The fourth proportional to 146.60, 202.14 and 130.20 is: 179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.60 : 202.14 = 130.20 : x
  2. Step 2: Convert to fraction form
    146.60/202.14 = 130.20/x
  3. Step 3: Cross multiply
    146.60x = 202.14 × 130.20
  4. Step 4: Simplify right side
    146.60x = 26,318.63
  5. Step 5: Solve for x
    x = 26,318.63/146.60
  6. Step 6: Final answer
    x = 179.53

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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.