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Finding the Fourth Proportional to 176.10, 242.76 and 134.64

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Solution

The fourth proportional to 176.10, 242.76 and 134.64 is: 185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 242.76 = 134.64 : x
  2. Step 2: Convert to fraction form
    176.10/242.76 = 134.64/x
  3. Step 3: Cross multiply
    176.10x = 242.76 × 134.64
  4. Step 4: Simplify right side
    176.10x = 32,685.21
  5. Step 5: Solve for x
    x = 32,685.21/176.10
  6. Step 6: Final answer
    x = 185.61

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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.