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Finding the Fourth Proportional to 346.96, 478.87 and 222.77

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Solution

The fourth proportional to 346.96, 478.87 and 222.77 is: 307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.96 : 478.87 = 222.77 : x
  2. Step 2: Convert to fraction form
    346.96/478.87 = 222.77/x
  3. Step 3: Cross multiply
    346.96x = 478.87 × 222.77
  4. Step 4: Simplify right side
    346.96x = 106,677.95
  5. Step 5: Solve for x
    x = 106,677.95/346.96
  6. Step 6: Final answer
    x = 307.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.