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Finding the Fourth Proportional to 270.05, 372.66 and 152.03

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Solution

The fourth proportional to 270.05, 372.66 and 152.03 is: 209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.05 : 372.66 = 152.03 : x
  2. Step 2: Convert to fraction form
    270.05/372.66 = 152.03/x
  3. Step 3: Cross multiply
    270.05x = 372.66 × 152.03
  4. Step 4: Simplify right side
    270.05x = 56,654.19
  5. Step 5: Solve for x
    x = 56,654.19/270.05
  6. Step 6: Final answer
    x = 209.79

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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.