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Finding the Fourth Proportional to 339.68, 508.59 and 177.03

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Solution

The fourth proportional to 339.68, 508.59 and 177.03 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.68 : 508.59 = 177.03 : x
  2. Step 2: Convert to fraction form
    339.68/508.59 = 177.03/x
  3. Step 3: Cross multiply
    339.68x = 508.59 × 177.03
  4. Step 4: Simplify right side
    339.68x = 90,035.69
  5. Step 5: Solve for x
    x = 90,035.69/339.68
  6. Step 6: Final answer
    x = 265.06

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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.