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Finding the Fourth Proportional to 270.68, 406.08 and 202.10

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Solution

The fourth proportional to 270.68, 406.08 and 202.10 is: 303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.68 : 406.08 = 202.10 : x
  2. Step 2: Convert to fraction form
    270.68/406.08 = 202.10/x
  3. Step 3: Cross multiply
    270.68x = 406.08 × 202.10
  4. Step 4: Simplify right side
    270.68x = 82,066.74
  5. Step 5: Solve for x
    x = 82,066.74/270.68
  6. Step 6: Final answer
    x = 303.19

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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.