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Finding the Fourth Proportional to 566.65, 849.97 and 176.78

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Solution

The fourth proportional to 566.65, 849.97 and 176.78 is: 265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.65 : 849.97 = 176.78 : x
  2. Step 2: Convert to fraction form
    566.65/849.97 = 176.78/x
  3. Step 3: Cross multiply
    566.65x = 849.97 × 176.78
  4. Step 4: Simplify right side
    566.65x = 150,259.55
  5. Step 5: Solve for x
    x = 150,259.55/566.65
  6. Step 6: Final answer
    x = 265.17

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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.