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Finding the Fourth Proportional to 566.23, 849.04 and 176.11

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Solution

The fourth proportional to 566.23, 849.04 and 176.11 is: 264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.23 : 849.04 = 176.11 : x
  2. Step 2: Convert to fraction form
    566.23/849.04 = 176.11/x
  3. Step 3: Cross multiply
    566.23x = 849.04 × 176.11
  4. Step 4: Simplify right side
    566.23x = 149,524.43
  5. Step 5: Solve for x
    x = 149,524.43/566.23
  6. Step 6: Final answer
    x = 264.07

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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.