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Finding the Fourth Proportional to 278.02, 384.10 and 237.04

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Solution

The fourth proportional to 278.02, 384.10 and 237.04 is: 327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 384.10 = 237.04 : x
  2. Step 2: Convert to fraction form
    278.02/384.10 = 237.04/x
  3. Step 3: Cross multiply
    278.02x = 384.10 × 237.04
  4. Step 4: Simplify right side
    278.02x = 91,047.06
  5. Step 5: Solve for x
    x = 91,047.06/278.02
  6. Step 6: Final answer
    x = 327.48

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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.