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Finding the Fourth Proportional to 280.13, 419.70 and 202.72

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Solution

The fourth proportional to 280.13, 419.70 and 202.72 is: 303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.13 : 419.70 = 202.72 : x
  2. Step 2: Convert to fraction form
    280.13/419.70 = 202.72/x
  3. Step 3: Cross multiply
    280.13x = 419.70 × 202.72
  4. Step 4: Simplify right side
    280.13x = 85,081.58
  5. Step 5: Solve for x
    x = 85,081.58/280.13
  6. Step 6: Final answer
    x = 303.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.