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Finding the Fourth Proportional to 305.48, 420.90 and 222.50

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Solution

The fourth proportional to 305.48, 420.90 and 222.50 is: 306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 420.90 = 222.50 : x
  2. Step 2: Convert to fraction form
    305.48/420.90 = 222.50/x
  3. Step 3: Cross multiply
    305.48x = 420.90 × 222.50
  4. Step 4: Simplify right side
    305.48x = 93,650.25
  5. Step 5: Solve for x
    x = 93,650.25/305.48
  6. Step 6: Final answer
    x = 306.57

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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.