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Finding the Fourth Proportional to 214.26, 296.26 and 210.78

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Solution

The fourth proportional to 214.26, 296.26 and 210.78 is: 291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.26 : 296.26 = 210.78 : x
  2. Step 2: Convert to fraction form
    214.26/296.26 = 210.78/x
  3. Step 3: Cross multiply
    214.26x = 296.26 × 210.78
  4. Step 4: Simplify right side
    214.26x = 62,445.43
  5. Step 5: Solve for x
    x = 62,445.43/214.26
  6. Step 6: Final answer
    x = 291.45

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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.