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Finding the Fourth Proportional to 191.77, 264.46 and 177.79

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Solution

The fourth proportional to 191.77, 264.46 and 177.79 is: 245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.77 : 264.46 = 177.79 : x
  2. Step 2: Convert to fraction form
    191.77/264.46 = 177.79/x
  3. Step 3: Cross multiply
    191.77x = 264.46 × 177.79
  4. Step 4: Simplify right side
    191.77x = 47,018.34
  5. Step 5: Solve for x
    x = 47,018.34/191.77
  6. Step 6: Final answer
    x = 245.18

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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.