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Finding the Fourth Proportional to 295.21, 442.95 and 150.91

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Solution

The fourth proportional to 295.21, 442.95 and 150.91 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.21 : 442.95 = 150.91 : x
  2. Step 2: Convert to fraction form
    295.21/442.95 = 150.91/x
  3. Step 3: Cross multiply
    295.21x = 442.95 × 150.91
  4. Step 4: Simplify right side
    295.21x = 66,845.58
  5. Step 5: Solve for x
    x = 66,845.58/295.21
  6. Step 6: Final answer
    x = 226.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.