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Finding the Fourth Proportional to 315.95, 435.85 and 199.58

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Solution

The fourth proportional to 315.95, 435.85 and 199.58 is: 275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.95 : 435.85 = 199.58 : x
  2. Step 2: Convert to fraction form
    315.95/435.85 = 199.58/x
  3. Step 3: Cross multiply
    315.95x = 435.85 × 199.58
  4. Step 4: Simplify right side
    315.95x = 86,984.26
  5. Step 5: Solve for x
    x = 86,984.26/315.95
  6. Step 6: Final answer
    x = 275.31

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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.