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Finding the Fourth Proportional to 566.07, 849.14 and 176.10

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Solution

The fourth proportional to 566.07, 849.14 and 176.10 is: 264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.07 : 849.14 = 176.10 : x
  2. Step 2: Convert to fraction form
    566.07/849.14 = 176.10/x
  3. Step 3: Cross multiply
    566.07x = 849.14 × 176.10
  4. Step 4: Simplify right side
    566.07x = 149,532.67
  5. Step 5: Solve for x
    x = 149,532.67/566.07
  6. Step 6: Final answer
    x = 264.16

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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.