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Finding the Fourth Proportional to 255.40, 351.66 and 216.52

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Solution

The fourth proportional to 255.40, 351.66 and 216.52 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.40 : 351.66 = 216.52 : x
  2. Step 2: Convert to fraction form
    255.40/351.66 = 216.52/x
  3. Step 3: Cross multiply
    255.40x = 351.66 × 216.52
  4. Step 4: Simplify right side
    255.40x = 76,141.42
  5. Step 5: Solve for x
    x = 76,141.42/255.40
  6. Step 6: Final answer
    x = 298.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.