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Finding the Fourth Proportional to 368.76, 508.88 and 202.97

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Solution

The fourth proportional to 368.76, 508.88 and 202.97 is: 280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.76 : 508.88 = 202.97 : x
  2. Step 2: Convert to fraction form
    368.76/508.88 = 202.97/x
  3. Step 3: Cross multiply
    368.76x = 508.88 × 202.97
  4. Step 4: Simplify right side
    368.76x = 103,288.39
  5. Step 5: Solve for x
    x = 103,288.39/368.76
  6. Step 6: Final answer
    x = 280.10

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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.