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Finding the Fourth Proportional to 346.13, 477.98 and 222.08

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Solution

The fourth proportional to 346.13, 477.98 and 222.08 is: 306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.13 : 477.98 = 222.08 : x
  2. Step 2: Convert to fraction form
    346.13/477.98 = 222.08/x
  3. Step 3: Cross multiply
    346.13x = 477.98 × 222.08
  4. Step 4: Simplify right side
    346.13x = 106,148.69
  5. Step 5: Solve for x
    x = 106,148.69/346.13
  6. Step 6: Final answer
    x = 306.68

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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.