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Finding the Fourth Proportional to 565.27, 848.06 and 236.10

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Solution

The fourth proportional to 565.27, 848.06 and 236.10 is: 354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.27 : 848.06 = 236.10 : x
  2. Step 2: Convert to fraction form
    565.27/848.06 = 236.10/x
  3. Step 3: Cross multiply
    565.27x = 848.06 × 236.10
  4. Step 4: Simplify right side
    565.27x = 200,226.97
  5. Step 5: Solve for x
    x = 200,226.97/565.27
  6. Step 6: Final answer
    x = 354.21

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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.