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Finding the Fourth Proportional to 177.04, 264.65 and 130.96

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Solution

The fourth proportional to 177.04, 264.65 and 130.96 is: 195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.04 : 264.65 = 130.96 : x
  2. Step 2: Convert to fraction form
    177.04/264.65 = 130.96/x
  3. Step 3: Cross multiply
    177.04x = 264.65 × 130.96
  4. Step 4: Simplify right side
    177.04x = 34,658.56
  5. Step 5: Solve for x
    x = 34,658.56/177.04
  6. Step 6: Final answer
    x = 195.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.