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Finding the Fourth Proportional to 384.75, 577.14 and 96.19

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Solution

The fourth proportional to 384.75, 577.14 and 96.19 is: 144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 577.14 = 96.19 : x
  2. Step 2: Convert to fraction form
    384.75/577.14 = 96.19/x
  3. Step 3: Cross multiply
    384.75x = 577.14 × 96.19
  4. Step 4: Simplify right side
    384.75x = 55,513.29
  5. Step 5: Solve for x
    x = 55,513.29/384.75
  6. Step 6: Final answer
    x = 144.28

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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.