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Finding the Fourth Proportional to 177.30, 266.16 and 105.32

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Solution

The fourth proportional to 177.30, 266.16 and 105.32 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.30 : 266.16 = 105.32 : x
  2. Step 2: Convert to fraction form
    177.30/266.16 = 105.32/x
  3. Step 3: Cross multiply
    177.30x = 266.16 × 105.32
  4. Step 4: Simplify right side
    177.30x = 28,030.38
  5. Step 5: Solve for x
    x = 28,030.38/177.30
  6. Step 6: Final answer
    x = 158.09

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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.