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Finding the Fourth Proportional to 212.66, 291.74 and 210.44

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Solution

The fourth proportional to 212.66, 291.74 and 210.44 is: 288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.66 : 291.74 = 210.44 : x
  2. Step 2: Convert to fraction form
    212.66/291.74 = 210.44/x
  3. Step 3: Cross multiply
    212.66x = 291.74 × 210.44
  4. Step 4: Simplify right side
    212.66x = 61,391.25
  5. Step 5: Solve for x
    x = 61,391.25/212.66
  6. Step 6: Final answer
    x = 288.69

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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.