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Finding the Fourth Proportional to 214.64, 322 and 92.84

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Solution

The fourth proportional to 214.64, 322 and 92.84 is: 139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 322 = 92.84 : x
  2. Step 2: Convert to fraction form
    214.64/322 = 92.84/x
  3. Step 3: Cross multiply
    214.64x = 322 × 92.84
  4. Step 4: Simplify right side
    214.64x = 29,894.48
  5. Step 5: Solve for x
    x = 29,894.48/214.64
  6. Step 6: Final answer
    x = 139.28

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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.