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Finding the Fourth Proportional to 178.23, 266.97 and 176.07

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Solution

The fourth proportional to 178.23, 266.97 and 176.07 is: 263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.23 : 266.97 = 176.07 : x
  2. Step 2: Convert to fraction form
    178.23/266.97 = 176.07/x
  3. Step 3: Cross multiply
    178.23x = 266.97 × 176.07
  4. Step 4: Simplify right side
    178.23x = 47,005.41
  5. Step 5: Solve for x
    x = 47,005.41/178.23
  6. Step 6: Final answer
    x = 263.73

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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.