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Finding the Fourth Proportional to 566.09, 849.27 and 176.08

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Solution

The fourth proportional to 566.09, 849.27 and 176.08 is: 264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.09 : 849.27 = 176.08 : x
  2. Step 2: Convert to fraction form
    566.09/849.27 = 176.08/x
  3. Step 3: Cross multiply
    566.09x = 849.27 × 176.08
  4. Step 4: Simplify right side
    566.09x = 149,535.22
  5. Step 5: Solve for x
    x = 149,535.22/566.09
  6. Step 6: Final answer
    x = 264.15

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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.