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Finding the Fourth Proportional to 474.74, 711.94 and 166.50

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Solution

The fourth proportional to 474.74, 711.94 and 166.50 is: 249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.74 : 711.94 = 166.50 : x
  2. Step 2: Convert to fraction form
    474.74/711.94 = 166.50/x
  3. Step 3: Cross multiply
    474.74x = 711.94 × 166.50
  4. Step 4: Simplify right side
    474.74x = 118,538.01
  5. Step 5: Solve for x
    x = 118,538.01/474.74
  6. Step 6: Final answer
    x = 249.69

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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.