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Finding the Fourth Proportional to 265.44, 397.56 and 184.08

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Solution

The fourth proportional to 265.44, 397.56 and 184.08 is: 275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 397.56 = 184.08 : x
  2. Step 2: Convert to fraction form
    265.44/397.56 = 184.08/x
  3. Step 3: Cross multiply
    265.44x = 397.56 × 184.08
  4. Step 4: Simplify right side
    265.44x = 73,182.84
  5. Step 5: Solve for x
    x = 73,182.84/265.44
  6. Step 6: Final answer
    x = 275.70

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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.