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Finding the Fourth Proportional to 191.68, 264.48 and 152.96

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Solution

The fourth proportional to 191.68, 264.48 and 152.96 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.68 : 264.48 = 152.96 : x
  2. Step 2: Convert to fraction form
    191.68/264.48 = 152.96/x
  3. Step 3: Cross multiply
    191.68x = 264.48 × 152.96
  4. Step 4: Simplify right side
    191.68x = 40,454.86
  5. Step 5: Solve for x
    x = 40,454.86/191.68
  6. Step 6: Final answer
    x = 211.05

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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.