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Finding the Fourth Proportional to 212.68, 291.74 and 210.76

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Solution

The fourth proportional to 212.68, 291.74 and 210.76 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.68 : 291.74 = 210.76 : x
  2. Step 2: Convert to fraction form
    212.68/291.74 = 210.76/x
  3. Step 3: Cross multiply
    212.68x = 291.74 × 210.76
  4. Step 4: Simplify right side
    212.68x = 61,487.12
  5. Step 5: Solve for x
    x = 61,487.12/212.68
  6. Step 6: Final answer
    x = 289.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.