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Finding the Fourth Proportional to 333.71, 500.61 and 117.26

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Solution

The fourth proportional to 333.71, 500.61 and 117.26 is: 175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.71 : 500.61 = 117.26 : x
  2. Step 2: Convert to fraction form
    333.71/500.61 = 117.26/x
  3. Step 3: Cross multiply
    333.71x = 500.61 × 117.26
  4. Step 4: Simplify right side
    333.71x = 58,701.53
  5. Step 5: Solve for x
    x = 58,701.53/333.71
  6. Step 6: Final answer
    x = 175.91

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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.