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Finding the Fourth Proportional to 474.26, 710.94 and 165.95

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Solution

The fourth proportional to 474.26, 710.94 and 165.95 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.26 : 710.94 = 165.95 : x
  2. Step 2: Convert to fraction form
    474.26/710.94 = 165.95/x
  3. Step 3: Cross multiply
    474.26x = 710.94 × 165.95
  4. Step 4: Simplify right side
    474.26x = 117,980.49
  5. Step 5: Solve for x
    x = 117,980.49/474.26
  6. Step 6: Final answer
    x = 248.77

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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.