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Finding the Fourth Proportional to 270.32, 405.12 and 146.84

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Solution

The fourth proportional to 270.32, 405.12 and 146.84 is: 220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 405.12 = 146.84 : x
  2. Step 2: Convert to fraction form
    270.32/405.12 = 146.84/x
  3. Step 3: Cross multiply
    270.32x = 405.12 × 146.84
  4. Step 4: Simplify right side
    270.32x = 59,487.82
  5. Step 5: Solve for x
    x = 59,487.82/270.32
  6. Step 6: Final answer
    x = 220.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.