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Finding the Fourth Proportional to 555.23, 832.68 and 189.97

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Solution

The fourth proportional to 555.23, 832.68 and 189.97 is: 284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.23 : 832.68 = 189.97 : x
  2. Step 2: Convert to fraction form
    555.23/832.68 = 189.97/x
  3. Step 3: Cross multiply
    555.23x = 832.68 × 189.97
  4. Step 4: Simplify right side
    555.23x = 158,182.14
  5. Step 5: Solve for x
    x = 158,182.14/555.23
  6. Step 6: Final answer
    x = 284.89

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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.