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Finding the Fourth Proportional to 339.02, 508.80 and 176.81

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Solution

The fourth proportional to 339.02, 508.80 and 176.81 is: 265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.02 : 508.80 = 176.81 : x
  2. Step 2: Convert to fraction form
    339.02/508.80 = 176.81/x
  3. Step 3: Cross multiply
    339.02x = 508.80 × 176.81
  4. Step 4: Simplify right side
    339.02x = 89,960.93
  5. Step 5: Solve for x
    x = 89,960.93/339.02
  6. Step 6: Final answer
    x = 265.36

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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.