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Finding the Fourth Proportional to 384.98, 577.46 and 111.07

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Solution

The fourth proportional to 384.98, 577.46 and 111.07 is: 166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.98 : 577.46 = 111.07 : x
  2. Step 2: Convert to fraction form
    384.98/577.46 = 111.07/x
  3. Step 3: Cross multiply
    384.98x = 577.46 × 111.07
  4. Step 4: Simplify right side
    384.98x = 64,136.90
  5. Step 5: Solve for x
    x = 64,136.90/384.98
  6. Step 6: Final answer
    x = 166.60

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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.