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Finding the Fourth Proportional to 368.56, 508.64 and 202.78

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Solution

The fourth proportional to 368.56, 508.64 and 202.78 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.56 : 508.64 = 202.78 : x
  2. Step 2: Convert to fraction form
    368.56/508.64 = 202.78/x
  3. Step 3: Cross multiply
    368.56x = 508.64 × 202.78
  4. Step 4: Simplify right side
    368.56x = 103,142.02
  5. Step 5: Solve for x
    x = 103,142.02/368.56
  6. Step 6: Final answer
    x = 279.85

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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.