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Finding the Fourth Proportional to 176.56, 242.94 and 141.46

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Solution

The fourth proportional to 176.56, 242.94 and 141.46 is: 194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.56 : 242.94 = 141.46 : x
  2. Step 2: Convert to fraction form
    176.56/242.94 = 141.46/x
  3. Step 3: Cross multiply
    176.56x = 242.94 × 141.46
  4. Step 4: Simplify right side
    176.56x = 34,366.29
  5. Step 5: Solve for x
    x = 34,366.29/176.56
  6. Step 6: Final answer
    x = 194.64

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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.