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Finding the Fourth Proportional to 270.13, 372.77 and 153.69

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Solution

The fourth proportional to 270.13, 372.77 and 153.69 is: 212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.13 : 372.77 = 153.69 : x
  2. Step 2: Convert to fraction form
    270.13/372.77 = 153.69/x
  3. Step 3: Cross multiply
    270.13x = 372.77 × 153.69
  4. Step 4: Simplify right side
    270.13x = 57,291.02
  5. Step 5: Solve for x
    x = 57,291.02/270.13
  6. Step 6: Final answer
    x = 212.09

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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.