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Finding the Fourth Proportional to 152.48, 209.14 and 141.14

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Solution

The fourth proportional to 152.48, 209.14 and 141.14 is: 193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.48 : 209.14 = 141.14 : x
  2. Step 2: Convert to fraction form
    152.48/209.14 = 141.14/x
  3. Step 3: Cross multiply
    152.48x = 209.14 × 141.14
  4. Step 4: Simplify right side
    152.48x = 29,518.02
  5. Step 5: Solve for x
    x = 29,518.02/152.48
  6. Step 6: Final answer
    x = 193.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.