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Finding the Fourth Proportional to 295.12, 407.28 and 221.32

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Solution

The fourth proportional to 295.12, 407.28 and 221.32 is: 305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.12 : 407.28 = 221.32 : x
  2. Step 2: Convert to fraction form
    295.12/407.28 = 221.32/x
  3. Step 3: Cross multiply
    295.12x = 407.28 × 221.32
  4. Step 4: Simplify right side
    295.12x = 90,139.21
  5. Step 5: Solve for x
    x = 90,139.21/295.12
  6. Step 6: Final answer
    x = 305.43

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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.