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Finding the Fourth Proportional to 184.24, 274.71 and 177.40

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Solution

The fourth proportional to 184.24, 274.71 and 177.40 is: 264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.24 : 274.71 = 177.40 : x
  2. Step 2: Convert to fraction form
    184.24/274.71 = 177.40/x
  3. Step 3: Cross multiply
    184.24x = 274.71 × 177.40
  4. Step 4: Simplify right side
    184.24x = 48,733.55
  5. Step 5: Solve for x
    x = 48,733.55/184.24
  6. Step 6: Final answer
    x = 264.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.