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Finding the Fourth Proportional to 566.23, 849.31 and 176.22

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Solution

The fourth proportional to 566.23, 849.31 and 176.22 is: 264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.23 : 849.31 = 176.22 : x
  2. Step 2: Convert to fraction form
    566.23/849.31 = 176.22/x
  3. Step 3: Cross multiply
    566.23x = 849.31 × 176.22
  4. Step 4: Simplify right side
    566.23x = 149,664.53
  5. Step 5: Solve for x
    x = 149,664.53/566.23
  6. Step 6: Final answer
    x = 264.32

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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.