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Finding the Fourth Proportional to 565.41, 848.21 and 195.24

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Solution

The fourth proportional to 565.41, 848.21 and 195.24 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.41 : 848.21 = 195.24 : x
  2. Step 2: Convert to fraction form
    565.41/848.21 = 195.24/x
  3. Step 3: Cross multiply
    565.41x = 848.21 × 195.24
  4. Step 4: Simplify right side
    565.41x = 165,606.72
  5. Step 5: Solve for x
    x = 165,606.72/565.41
  6. Step 6: Final answer
    x = 292.89

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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.