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Finding the Fourth Proportional to 178.26, 266.19 and 176.35

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Solution

The fourth proportional to 178.26, 266.19 and 176.35 is: 263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.26 : 266.19 = 176.35 : x
  2. Step 2: Convert to fraction form
    178.26/266.19 = 176.35/x
  3. Step 3: Cross multiply
    178.26x = 266.19 × 176.35
  4. Step 4: Simplify right side
    178.26x = 46,942.61
  5. Step 5: Solve for x
    x = 46,942.61/178.26
  6. Step 6: Final answer
    x = 263.34

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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.