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Finding the Fourth Proportional to 191.97, 265.14 and 148.50

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Solution

The fourth proportional to 191.97, 265.14 and 148.50 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.97 : 265.14 = 148.50 : x
  2. Step 2: Convert to fraction form
    191.97/265.14 = 148.50/x
  3. Step 3: Cross multiply
    191.97x = 265.14 × 148.50
  4. Step 4: Simplify right side
    191.97x = 39,373.29
  5. Step 5: Solve for x
    x = 39,373.29/191.97
  6. Step 6: Final answer
    x = 205.10

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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.