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Finding the Fourth Proportional to 178.78, 266.69 and 157.06

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Solution

The fourth proportional to 178.78, 266.69 and 157.06 is: 234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.78 : 266.69 = 157.06 : x
  2. Step 2: Convert to fraction form
    178.78/266.69 = 157.06/x
  3. Step 3: Cross multiply
    178.78x = 266.69 × 157.06
  4. Step 4: Simplify right side
    178.78x = 41,886.33
  5. Step 5: Solve for x
    x = 41,886.33/178.78
  6. Step 6: Final answer
    x = 234.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.