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Finding the Fourth Proportional to 176.10, 243 and 163.04

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Solution

The fourth proportional to 176.10, 243 and 163.04 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 243 = 163.04 : x
  2. Step 2: Convert to fraction form
    176.10/243 = 163.04/x
  3. Step 3: Cross multiply
    176.10x = 243 × 163.04
  4. Step 4: Simplify right side
    176.10x = 39,618.19
  5. Step 5: Solve for x
    x = 39,618.19/176.10
  6. Step 6: Final answer
    x = 224.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.