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Finding the Fourth Proportional to 213.46, 318.64 and 184.76

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Solution

The fourth proportional to 213.46, 318.64 and 184.76 is: 275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.46 : 318.64 = 184.76 : x
  2. Step 2: Convert to fraction form
    213.46/318.64 = 184.76/x
  3. Step 3: Cross multiply
    213.46x = 318.64 × 184.76
  4. Step 4: Simplify right side
    213.46x = 58,871.93
  5. Step 5: Solve for x
    x = 58,871.93/213.46
  6. Step 6: Final answer
    x = 275.80

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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.