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Finding the Fourth Proportional to 141.40, 210.53 and 140.60

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Solution

The fourth proportional to 141.40, 210.53 and 140.60 is: 209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.40 : 210.53 = 140.60 : x
  2. Step 2: Convert to fraction form
    141.40/210.53 = 140.60/x
  3. Step 3: Cross multiply
    141.40x = 210.53 × 140.60
  4. Step 4: Simplify right side
    141.40x = 29,600.52
  5. Step 5: Solve for x
    x = 29,600.52/141.40
  6. Step 6: Final answer
    x = 209.34

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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.