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Finding the Fourth Proportional to 566.54, 849.90 and 176.53

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Solution

The fourth proportional to 566.54, 849.90 and 176.53 is: 264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.54 : 849.90 = 176.53 : x
  2. Step 2: Convert to fraction form
    566.54/849.90 = 176.53/x
  3. Step 3: Cross multiply
    566.54x = 849.90 × 176.53
  4. Step 4: Simplify right side
    566.54x = 150,032.85
  5. Step 5: Solve for x
    x = 150,032.85/566.54
  6. Step 6: Final answer
    x = 264.82

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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.