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Finding the Fourth Proportional to 211.74, 292.32 and 197.16

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Solution

The fourth proportional to 211.74, 292.32 and 197.16 is: 272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.74 : 292.32 = 197.16 : x
  2. Step 2: Convert to fraction form
    211.74/292.32 = 197.16/x
  3. Step 3: Cross multiply
    211.74x = 292.32 × 197.16
  4. Step 4: Simplify right side
    211.74x = 57,633.81
  5. Step 5: Solve for x
    x = 57,633.81/211.74
  6. Step 6: Final answer
    x = 272.19

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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.