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Finding the Fourth Proportional to 191.76, 264.48 and 177.84

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Solution

The fourth proportional to 191.76, 264.48 and 177.84 is: 245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.76 : 264.48 = 177.84 : x
  2. Step 2: Convert to fraction form
    191.76/264.48 = 177.84/x
  3. Step 3: Cross multiply
    191.76x = 264.48 × 177.84
  4. Step 4: Simplify right side
    191.76x = 47,035.12
  5. Step 5: Solve for x
    x = 47,035.12/191.76
  6. Step 6: Final answer
    x = 245.28

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Why These Related Problems?

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