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Finding the Fourth Proportional to 368.55, 508.61 and 202.76

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Solution

The fourth proportional to 368.55, 508.61 and 202.76 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.55 : 508.61 = 202.76 : x
  2. Step 2: Convert to fraction form
    368.55/508.61 = 202.76/x
  3. Step 3: Cross multiply
    368.55x = 508.61 × 202.76
  4. Step 4: Simplify right side
    368.55x = 103,124.75
  5. Step 5: Solve for x
    x = 103,124.75/368.55
  6. Step 6: Final answer
    x = 279.81

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