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Finding the Fourth Proportional to 384.98, 577.45 and 111.08

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Solution

The fourth proportional to 384.98, 577.45 and 111.08 is: 166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.98 : 577.45 = 111.08 : x
  2. Step 2: Convert to fraction form
    384.98/577.45 = 111.08/x
  3. Step 3: Cross multiply
    384.98x = 577.45 × 111.08
  4. Step 4: Simplify right side
    384.98x = 64,142.15
  5. Step 5: Solve for x
    x = 64,142.15/384.98
  6. Step 6: Final answer
    x = 166.61

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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.