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Finding the Fourth Proportional to 566.10, 849.17 and 176.06

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Solution

The fourth proportional to 566.10, 849.17 and 176.06 is: 264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.10 : 849.17 = 176.06 : x
  2. Step 2: Convert to fraction form
    566.10/849.17 = 176.06/x
  3. Step 3: Cross multiply
    566.10x = 849.17 × 176.06
  4. Step 4: Simplify right side
    566.10x = 149,499.74
  5. Step 5: Solve for x
    x = 149,499.74/566.10
  6. Step 6: Final answer
    x = 264.09

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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.