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Finding the Fourth Proportional to 555.19, 832.91 and 165.23

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Solution

The fourth proportional to 555.19, 832.91 and 165.23 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.19 : 832.91 = 165.23 : x
  2. Step 2: Convert to fraction form
    555.19/832.91 = 165.23/x
  3. Step 3: Cross multiply
    555.19x = 832.91 × 165.23
  4. Step 4: Simplify right side
    555.19x = 137,617.55
  5. Step 5: Solve for x
    x = 137,617.55/555.19
  6. Step 6: Final answer
    x = 247.87

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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.