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Finding the Fourth Proportional to 339.16, 508.42 and 202.24

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Solution

The fourth proportional to 339.16, 508.42 and 202.24 is: 303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.16 : 508.42 = 202.24 : x
  2. Step 2: Convert to fraction form
    339.16/508.42 = 202.24/x
  3. Step 3: Cross multiply
    339.16x = 508.42 × 202.24
  4. Step 4: Simplify right side
    339.16x = 102,822.86
  5. Step 5: Solve for x
    x = 102,822.86/339.16
  6. Step 6: Final answer
    x = 303.17

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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.