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Finding the Fourth Proportional to 171.93, 257.74 and 62.22

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Solution

The fourth proportional to 171.93, 257.74 and 62.22 is: 93.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.93 : 257.74 = 62.22 : x
  2. Step 2: Convert to fraction form
    171.93/257.74 = 62.22/x
  3. Step 3: Cross multiply
    171.93x = 257.74 × 62.22
  4. Step 4: Simplify right side
    171.93x = 16,036.27
  5. Step 5: Solve for x
    x = 16,036.27/171.93
  6. Step 6: Final answer
    x = 93.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.