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Finding the Fourth Proportional to 175.40, 242.06 and 97.78

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Solution

The fourth proportional to 175.40, 242.06 and 97.78 is: 134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 242.06 = 97.78 : x
  2. Step 2: Convert to fraction form
    175.40/242.06 = 97.78/x
  3. Step 3: Cross multiply
    175.40x = 242.06 × 97.78
  4. Step 4: Simplify right side
    175.40x = 23,668.63
  5. Step 5: Solve for x
    x = 23,668.63/175.40
  6. Step 6: Final answer
    x = 134.94

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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.