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Finding the Fourth Proportional to 146.47, 218.10 and 141.28

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Solution

The fourth proportional to 146.47, 218.10 and 141.28 is: 210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.47 : 218.10 = 141.28 : x
  2. Step 2: Convert to fraction form
    146.47/218.10 = 141.28/x
  3. Step 3: Cross multiply
    146.47x = 218.10 × 141.28
  4. Step 4: Simplify right side
    146.47x = 30,813.17
  5. Step 5: Solve for x
    x = 30,813.17/146.47
  6. Step 6: Final answer
    x = 210.37

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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.