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Finding the Fourth Proportional to 385.22, 577.78 and 125.19

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Solution

The fourth proportional to 385.22, 577.78 and 125.19 is: 187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.22 : 577.78 = 125.19 : x
  2. Step 2: Convert to fraction form
    385.22/577.78 = 125.19/x
  3. Step 3: Cross multiply
    385.22x = 577.78 × 125.19
  4. Step 4: Simplify right side
    385.22x = 72,332.28
  5. Step 5: Solve for x
    x = 72,332.28/385.22
  6. Step 6: Final answer
    x = 187.77

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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.