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Finding the Fourth Proportional to 211.64, 291.44 and 174.74

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Solution

The fourth proportional to 211.64, 291.44 and 174.74 is: 240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.64 : 291.44 = 174.74 : x
  2. Step 2: Convert to fraction form
    211.64/291.44 = 174.74/x
  3. Step 3: Cross multiply
    211.64x = 291.44 × 174.74
  4. Step 4: Simplify right side
    211.64x = 50,926.23
  5. Step 5: Solve for x
    x = 50,926.23/211.64
  6. Step 6: Final answer
    x = 240.63

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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.