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Finding the Fourth Proportional to 295.58, 443.15 and 204.02

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Solution

The fourth proportional to 295.58, 443.15 and 204.02 is: 305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.58 : 443.15 = 204.02 : x
  2. Step 2: Convert to fraction form
    295.58/443.15 = 204.02/x
  3. Step 3: Cross multiply
    295.58x = 443.15 × 204.02
  4. Step 4: Simplify right side
    295.58x = 90,411.46
  5. Step 5: Solve for x
    x = 90,411.46/295.58
  6. Step 6: Final answer
    x = 305.88

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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.