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Finding the Fourth Proportional to 270.52, 373.29 and 154.06

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Solution

The fourth proportional to 270.52, 373.29 and 154.06 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.52 : 373.29 = 154.06 : x
  2. Step 2: Convert to fraction form
    270.52/373.29 = 154.06/x
  3. Step 3: Cross multiply
    270.52x = 373.29 × 154.06
  4. Step 4: Simplify right side
    270.52x = 57,509.06
  5. Step 5: Solve for x
    x = 57,509.06/270.52
  6. Step 6: Final answer
    x = 212.59

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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.