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Finding the Fourth Proportional to 385.47, 578.06 and 111.47

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Solution

The fourth proportional to 385.47, 578.06 and 111.47 is: 167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 578.06 = 111.47 : x
  2. Step 2: Convert to fraction form
    385.47/578.06 = 111.47/x
  3. Step 3: Cross multiply
    385.47x = 578.06 × 111.47
  4. Step 4: Simplify right side
    385.47x = 64,433.74
  5. Step 5: Solve for x
    x = 64,433.74/385.47
  6. Step 6: Final answer
    x = 167.16

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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.