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Finding the Fourth Proportional to 556.07, 833.96 and 165.98

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Solution

The fourth proportional to 556.07, 833.96 and 165.98 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.07 : 833.96 = 165.98 : x
  2. Step 2: Convert to fraction form
    556.07/833.96 = 165.98/x
  3. Step 3: Cross multiply
    556.07x = 833.96 × 165.98
  4. Step 4: Simplify right side
    556.07x = 138,423.18
  5. Step 5: Solve for x
    x = 138,423.18/556.07
  6. Step 6: Final answer
    x = 248.93

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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.