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Finding the Fourth Proportional to 177.02, 265.76 and 108.38

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Solution

The fourth proportional to 177.02, 265.76 and 108.38 is: 162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 265.76 = 108.38 : x
  2. Step 2: Convert to fraction form
    177.02/265.76 = 108.38/x
  3. Step 3: Cross multiply
    177.02x = 265.76 × 108.38
  4. Step 4: Simplify right side
    177.02x = 28,803.07
  5. Step 5: Solve for x
    x = 28,803.07/177.02
  6. Step 6: Final answer
    x = 162.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.