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Finding the Fourth Proportional to 385.98, 578.80 and 112.01

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Solution

The fourth proportional to 385.98, 578.80 and 112.01 is: 167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.98 : 578.80 = 112.01 : x
  2. Step 2: Convert to fraction form
    385.98/578.80 = 112.01/x
  3. Step 3: Cross multiply
    385.98x = 578.80 × 112.01
  4. Step 4: Simplify right side
    385.98x = 64,831.39
  5. Step 5: Solve for x
    x = 64,831.39/385.98
  6. Step 6: Final answer
    x = 167.97

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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.