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Finding the Fourth Proportional to 315.19, 434.75 and 204.47

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Solution

The fourth proportional to 315.19, 434.75 and 204.47 is: 282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.19 : 434.75 = 204.47 : x
  2. Step 2: Convert to fraction form
    315.19/434.75 = 204.47/x
  3. Step 3: Cross multiply
    315.19x = 434.75 × 204.47
  4. Step 4: Simplify right side
    315.19x = 88,890.14
  5. Step 5: Solve for x
    x = 88,890.14/315.19
  6. Step 6: Final answer
    x = 282.02

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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.