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Finding the Fourth Proportional to 191.68, 287.52 and 148.84

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Solution

The fourth proportional to 191.68, 287.52 and 148.84 is: 223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.68 : 287.52 = 148.84 : x
  2. Step 2: Convert to fraction form
    191.68/287.52 = 148.84/x
  3. Step 3: Cross multiply
    191.68x = 287.52 × 148.84
  4. Step 4: Simplify right side
    191.68x = 42,794.48
  5. Step 5: Solve for x
    x = 42,794.48/191.68
  6. Step 6: Final answer
    x = 223.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.