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Finding the Fourth Proportional to 178.06, 266.62 and 96.92

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Solution

The fourth proportional to 178.06, 266.62 and 96.92 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.06 : 266.62 = 96.92 : x
  2. Step 2: Convert to fraction form
    178.06/266.62 = 96.92/x
  3. Step 3: Cross multiply
    178.06x = 266.62 × 96.92
  4. Step 4: Simplify right side
    178.06x = 25,840.81
  5. Step 5: Solve for x
    x = 25,840.81/178.06
  6. Step 6: Final answer
    x = 145.12

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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.