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Finding the Fourth Proportional to 291.11, 436.17 and 214.10

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Solution

The fourth proportional to 291.11, 436.17 and 214.10 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.11 : 436.17 = 214.10 : x
  2. Step 2: Convert to fraction form
    291.11/436.17 = 214.10/x
  3. Step 3: Cross multiply
    291.11x = 436.17 × 214.10
  4. Step 4: Simplify right side
    291.11x = 93,381.82
  5. Step 5: Solve for x
    x = 93,381.82/291.11
  6. Step 6: Final answer
    x = 320.78

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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.