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Finding the Fourth Proportional to 262.32, 393.14 and 146.84

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Solution

The fourth proportional to 262.32, 393.14 and 146.84 is: 220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.32 : 393.14 = 146.84 : x
  2. Step 2: Convert to fraction form
    262.32/393.14 = 146.84/x
  3. Step 3: Cross multiply
    262.32x = 393.14 × 146.84
  4. Step 4: Simplify right side
    262.32x = 57,725.98
  5. Step 5: Solve for x
    x = 57,725.98/262.32
  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.