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Finding the Fourth Proportional to 566.24, 849.38 and 176.23

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Solution

The fourth proportional to 566.24, 849.38 and 176.23 is: 264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.24 : 849.38 = 176.23 : x
  2. Step 2: Convert to fraction form
    566.24/849.38 = 176.23/x
  3. Step 3: Cross multiply
    566.24x = 849.38 × 176.23
  4. Step 4: Simplify right side
    566.24x = 149,686.24
  5. Step 5: Solve for x
    x = 149,686.24/566.24
  6. Step 6: Final answer
    x = 264.35

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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.