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Finding the Fourth Proportional to 182.77, 274.35 and 101.68

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Solution

The fourth proportional to 182.77, 274.35 and 101.68 is: 152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.77 : 274.35 = 101.68 : x
  2. Step 2: Convert to fraction form
    182.77/274.35 = 101.68/x
  3. Step 3: Cross multiply
    182.77x = 274.35 × 101.68
  4. Step 4: Simplify right side
    182.77x = 27,895.91
  5. Step 5: Solve for x
    x = 27,895.91/182.77
  6. Step 6: Final answer
    x = 152.63

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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.