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Finding the Fourth Proportional to 176.82, 265.14 and 61.19

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Solution

The fourth proportional to 176.82, 265.14 and 61.19 is: 91.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.82 : 265.14 = 61.19 : x
  2. Step 2: Convert to fraction form
    176.82/265.14 = 61.19/x
  3. Step 3: Cross multiply
    176.82x = 265.14 × 61.19
  4. Step 4: Simplify right side
    176.82x = 16,222.59
  5. Step 5: Solve for x
    x = 16,222.59/176.82
  6. Step 6: Final answer
    x = 91.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.