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Finding the Fourth Proportional to 368.69, 508.77 and 202.88

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Solution

The fourth proportional to 368.69, 508.77 and 202.88 is: 279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.69 : 508.77 = 202.88 : x
  2. Step 2: Convert to fraction form
    368.69/508.77 = 202.88/x
  3. Step 3: Cross multiply
    368.69x = 508.77 × 202.88
  4. Step 4: Simplify right side
    368.69x = 103,220.53
  5. Step 5: Solve for x
    x = 103,220.53/368.69
  6. Step 6: Final answer
    x = 279.97

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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.