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Finding the Fourth Proportional to 262.72, 392.88 and 214.24

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Solution

The fourth proportional to 262.72, 392.88 and 214.24 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.72 : 392.88 = 214.24 : x
  2. Step 2: Convert to fraction form
    262.72/392.88 = 214.24/x
  3. Step 3: Cross multiply
    262.72x = 392.88 × 214.24
  4. Step 4: Simplify right side
    262.72x = 84,170.61
  5. Step 5: Solve for x
    x = 84,170.61/262.72
  6. Step 6: Final answer
    x = 320.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.