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Finding the Fourth Proportional to 561.16, 841.67 and 176.38

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Solution

The fourth proportional to 561.16, 841.67 and 176.38 is: 264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.16 : 841.67 = 176.38 : x
  2. Step 2: Convert to fraction form
    561.16/841.67 = 176.38/x
  3. Step 3: Cross multiply
    561.16x = 841.67 × 176.38
  4. Step 4: Simplify right side
    561.16x = 148,449.55
  5. Step 5: Solve for x
    x = 148,449.55/561.16
  6. Step 6: Final answer
    x = 264.54

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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.