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Finding the Fourth Proportional to 152.28, 209.88 and 141.48

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Solution

The fourth proportional to 152.28, 209.88 and 141.48 is: 194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.28 : 209.88 = 141.48 : x
  2. Step 2: Convert to fraction form
    152.28/209.88 = 141.48/x
  3. Step 3: Cross multiply
    152.28x = 209.88 × 141.48
  4. Step 4: Simplify right side
    152.28x = 29,693.82
  5. Step 5: Solve for x
    x = 29,693.82/152.28
  6. Step 6: Final answer
    x = 194.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.