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Finding the Fourth Proportional to 176.51, 243.57 and 97.82

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Solution

The fourth proportional to 176.51, 243.57 and 97.82 is: 134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.51 : 243.57 = 97.82 : x
  2. Step 2: Convert to fraction form
    176.51/243.57 = 97.82/x
  3. Step 3: Cross multiply
    176.51x = 243.57 × 97.82
  4. Step 4: Simplify right side
    176.51x = 23,826.08
  5. Step 5: Solve for x
    x = 23,826.08/176.51
  6. Step 6: Final answer
    x = 134.98

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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.