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Finding the Fourth Proportional to 178.06, 266.88 and 75.22

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Solution

The fourth proportional to 178.06, 266.88 and 75.22 is: 112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.06 : 266.88 = 75.22 : x
  2. Step 2: Convert to fraction form
    178.06/266.88 = 75.22/x
  3. Step 3: Cross multiply
    178.06x = 266.88 × 75.22
  4. Step 4: Simplify right side
    178.06x = 20,074.71
  5. Step 5: Solve for x
    x = 20,074.71/178.06
  6. Step 6: Final answer
    x = 112.74

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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.