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Finding the Fourth Proportional to 368.39, 508.40 and 202.61

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Solution

The fourth proportional to 368.39, 508.40 and 202.61 is: 279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.39 : 508.40 = 202.61 : x
  2. Step 2: Convert to fraction form
    368.39/508.40 = 202.61/x
  3. Step 3: Cross multiply
    368.39x = 508.40 × 202.61
  4. Step 4: Simplify right side
    368.39x = 103,007.94
  5. Step 5: Solve for x
    x = 103,007.94/368.39
  6. Step 6: Final answer
    x = 279.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.