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Finding the Fourth Proportional to 140.51, 209.00 and 127.53

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Solution

The fourth proportional to 140.51, 209.00 and 127.53 is: 189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.51 : 209.00 = 127.53 : x
  2. Step 2: Convert to fraction form
    140.51/209.00 = 127.53/x
  3. Step 3: Cross multiply
    140.51x = 209.00 × 127.53
  4. Step 4: Simplify right side
    140.51x = 26,654.09
  5. Step 5: Solve for x
    x = 26,654.09/140.51
  6. Step 6: Final answer
    x = 189.69

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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.