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Finding the Fourth Proportional to 555.26, 832.80 and 185.06

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Solution

The fourth proportional to 555.26, 832.80 and 185.06 is: 277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.26 : 832.80 = 185.06 : x
  2. Step 2: Convert to fraction form
    555.26/832.80 = 185.06/x
  3. Step 3: Cross multiply
    555.26x = 832.80 × 185.06
  4. Step 4: Simplify right side
    555.26x = 154,117.97
  5. Step 5: Solve for x
    x = 154,117.97/555.26
  6. Step 6: Final answer
    x = 277.56

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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.