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Finding the Fourth Proportional to 178.04, 266.66 and 105.96

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Solution

The fourth proportional to 178.04, 266.66 and 105.96 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.04 : 266.66 = 105.96 : x
  2. Step 2: Convert to fraction form
    178.04/266.66 = 105.96/x
  3. Step 3: Cross multiply
    178.04x = 266.66 × 105.96
  4. Step 4: Simplify right side
    178.04x = 28,255.29
  5. Step 5: Solve for x
    x = 28,255.29/178.04
  6. Step 6: Final answer
    x = 158.70

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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.