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Finding the Fourth Proportional to 270.13, 372.80 and 153.71

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Solution

The fourth proportional to 270.13, 372.80 and 153.71 is: 212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.13 : 372.80 = 153.71 : x
  2. Step 2: Convert to fraction form
    270.13/372.80 = 153.71/x
  3. Step 3: Cross multiply
    270.13x = 372.80 × 153.71
  4. Step 4: Simplify right side
    270.13x = 57,303.09
  5. Step 5: Solve for x
    x = 57,303.09/270.13
  6. Step 6: Final answer
    x = 212.13

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Why These Related Problems?

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