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Finding the Fourth Proportional to 385.12, 577.78 and 222.51

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Solution

The fourth proportional to 385.12, 577.78 and 222.51 is: 333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.12 : 577.78 = 222.51 : x
  2. Step 2: Convert to fraction form
    385.12/577.78 = 222.51/x
  3. Step 3: Cross multiply
    385.12x = 577.78 × 222.51
  4. Step 4: Simplify right side
    385.12x = 128,561.83
  5. Step 5: Solve for x
    x = 128,561.83/385.12
  6. Step 6: Final answer
    x = 333.82

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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.