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Finding the Fourth Proportional to 178.07, 266.93 and 75.38

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Solution

The fourth proportional to 178.07, 266.93 and 75.38 is: 113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.07 : 266.93 = 75.38 : x
  2. Step 2: Convert to fraction form
    178.07/266.93 = 75.38/x
  3. Step 3: Cross multiply
    178.07x = 266.93 × 75.38
  4. Step 4: Simplify right side
    178.07x = 20,121.18
  5. Step 5: Solve for x
    x = 20,121.18/178.07
  6. Step 6: Final answer
    x = 113.00

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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.