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Finding the Fourth Proportional to 565.28, 848 and 180.48

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Solution

The fourth proportional to 565.28, 848 and 180.48 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.28 : 848 = 180.48 : x
  2. Step 2: Convert to fraction form
    565.28/848 = 180.48/x
  3. Step 3: Cross multiply
    565.28x = 848 × 180.48
  4. Step 4: Simplify right side
    565.28x = 153,047.04
  5. Step 5: Solve for x
    x = 153,047.04/565.28
  6. Step 6: Final answer
    x = 270.75

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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.