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Finding the Fourth Proportional to 238.04, 328 and 182.16

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Solution

The fourth proportional to 238.04, 328 and 182.16 is: 251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.04 : 328 = 182.16 : x
  2. Step 2: Convert to fraction form
    238.04/328 = 182.16/x
  3. Step 3: Cross multiply
    238.04x = 328 × 182.16
  4. Step 4: Simplify right side
    238.04x = 59,748.48
  5. Step 5: Solve for x
    x = 59,748.48/238.04
  6. Step 6: Final answer
    x = 251.00

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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.