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Finding the Fourth Proportional to 177.12, 264.38 and 156.62

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Solution

The fourth proportional to 177.12, 264.38 and 156.62 is: 233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 264.38 = 156.62 : x
  2. Step 2: Convert to fraction form
    177.12/264.38 = 156.62/x
  3. Step 3: Cross multiply
    177.12x = 264.38 × 156.62
  4. Step 4: Simplify right side
    177.12x = 41,406.92
  5. Step 5: Solve for x
    x = 41,406.92/177.12
  6. Step 6: Final answer
    x = 233.77

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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.