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Finding the Fourth Proportional to 315.48, 435.16 and 199.12

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Solution

The fourth proportional to 315.48, 435.16 and 199.12 is: 274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.48 : 435.16 = 199.12 : x
  2. Step 2: Convert to fraction form
    315.48/435.16 = 199.12/x
  3. Step 3: Cross multiply
    315.48x = 435.16 × 199.12
  4. Step 4: Simplify right side
    315.48x = 86,649.06
  5. Step 5: Solve for x
    x = 86,649.06/315.48
  6. Step 6: Final answer
    x = 274.66

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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.