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Finding the Fourth Proportional to 178.12, 266.64 and 105.76

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Solution

The fourth proportional to 178.12, 266.64 and 105.76 is: 158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.12 : 266.64 = 105.76 : x
  2. Step 2: Convert to fraction form
    178.12/266.64 = 105.76/x
  3. Step 3: Cross multiply
    178.12x = 266.64 × 105.76
  4. Step 4: Simplify right side
    178.12x = 28,199.85
  5. Step 5: Solve for x
    x = 28,199.85/178.12
  6. Step 6: Final answer
    x = 158.32

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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.