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Finding the Fourth Proportional to 270.02, 372.72 and 159.53

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Solution

The fourth proportional to 270.02, 372.72 and 159.53 is: 220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.02 : 372.72 = 159.53 : x
  2. Step 2: Convert to fraction form
    270.02/372.72 = 159.53/x
  3. Step 3: Cross multiply
    270.02x = 372.72 × 159.53
  4. Step 4: Simplify right side
    270.02x = 59,460.02
  5. Step 5: Solve for x
    x = 59,460.02/270.02
  6. Step 6: Final answer
    x = 220.21

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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.