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Finding the Fourth Proportional to 345.77, 477.18 and 221.33

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Solution

The fourth proportional to 345.77, 477.18 and 221.33 is: 305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.77 : 477.18 = 221.33 : x
  2. Step 2: Convert to fraction form
    345.77/477.18 = 221.33/x
  3. Step 3: Cross multiply
    345.77x = 477.18 × 221.33
  4. Step 4: Simplify right side
    345.77x = 105,614.25
  5. Step 5: Solve for x
    x = 105,614.25/345.77
  6. Step 6: Final answer
    x = 305.45

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