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Finding the Fourth Proportional to 184.64, 275.63 and 178.22

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Solution

The fourth proportional to 184.64, 275.63 and 178.22 is: 266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 275.63 = 178.22 : x
  2. Step 2: Convert to fraction form
    184.64/275.63 = 178.22/x
  3. Step 3: Cross multiply
    184.64x = 275.63 × 178.22
  4. Step 4: Simplify right side
    184.64x = 49,123.91
  5. Step 5: Solve for x
    x = 49,123.91/184.64
  6. Step 6: Final answer
    x = 266.06

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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.