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Finding the Fourth Proportional to 253.32, 380.04 and 82.32

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Solution

The fourth proportional to 253.32, 380.04 and 82.32 is: 123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.32 : 380.04 = 82.32 : x
  2. Step 2: Convert to fraction form
    253.32/380.04 = 82.32/x
  3. Step 3: Cross multiply
    253.32x = 380.04 × 82.32
  4. Step 4: Simplify right side
    253.32x = 31,284.89
  5. Step 5: Solve for x
    x = 31,284.89/253.32
  6. Step 6: Final answer
    x = 123.50

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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.