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Finding the Fourth Proportional to 257.19, 387.54 and 212.52

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Solution

The fourth proportional to 257.19, 387.54 and 212.52 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.19 : 387.54 = 212.52 : x
  2. Step 2: Convert to fraction form
    257.19/387.54 = 212.52/x
  3. Step 3: Cross multiply
    257.19x = 387.54 × 212.52
  4. Step 4: Simplify right side
    257.19x = 82,360.00
  5. Step 5: Solve for x
    x = 82,360.00/257.19
  6. Step 6: Final answer
    x = 320.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.