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Finding the Fourth Proportional to 291.76, 403.15 and 212.94

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Solution

The fourth proportional to 291.76, 403.15 and 212.94 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.76 : 403.15 = 212.94 : x
  2. Step 2: Convert to fraction form
    291.76/403.15 = 212.94/x
  3. Step 3: Cross multiply
    291.76x = 403.15 × 212.94
  4. Step 4: Simplify right side
    291.76x = 85,846.76
  5. Step 5: Solve for x
    x = 85,846.76/291.76
  6. Step 6: Final answer
    x = 294.24

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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.