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Finding the Fourth Proportional to 182.18, 274.88 and 176.12

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Solution

The fourth proportional to 182.18, 274.88 and 176.12 is: 265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.18 : 274.88 = 176.12 : x
  2. Step 2: Convert to fraction form
    182.18/274.88 = 176.12/x
  3. Step 3: Cross multiply
    182.18x = 274.88 × 176.12
  4. Step 4: Simplify right side
    182.18x = 48,411.87
  5. Step 5: Solve for x
    x = 48,411.87/182.18
  6. Step 6: Final answer
    x = 265.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.