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Finding the Fourth Proportional to 191.53, 264.57 and 148.42

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Solution

The fourth proportional to 191.53, 264.57 and 148.42 is: 205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.53 : 264.57 = 148.42 : x
  2. Step 2: Convert to fraction form
    191.53/264.57 = 148.42/x
  3. Step 3: Cross multiply
    191.53x = 264.57 × 148.42
  4. Step 4: Simplify right side
    191.53x = 39,267.48
  5. Step 5: Solve for x
    x = 39,267.48/191.53
  6. Step 6: Final answer
    x = 205.02

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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.