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Finding the Fourth Proportional to 178.10, 266.92 and 176.16

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Solution

The fourth proportional to 178.10, 266.92 and 176.16 is: 264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 266.92 = 176.16 : x
  2. Step 2: Convert to fraction form
    178.10/266.92 = 176.16/x
  3. Step 3: Cross multiply
    178.10x = 266.92 × 176.16
  4. Step 4: Simplify right side
    178.10x = 47,021.31
  5. Step 5: Solve for x
    x = 47,021.31/178.10
  6. Step 6: Final answer
    x = 264.02

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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.