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Finding the Fourth Proportional to 270.52, 373.30 and 167

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Solution

The fourth proportional to 270.52, 373.30 and 167 is: 230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.52 : 373.30 = 167 : x
  2. Step 2: Convert to fraction form
    270.52/373.30 = 167/x
  3. Step 3: Cross multiply
    270.52x = 373.30 × 167
  4. Step 4: Simplify right side
    270.52x = 62,341.10
  5. Step 5: Solve for x
    x = 62,341.10/270.52
  6. Step 6: Final answer
    x = 230.45

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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.