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Finding the Fourth Proportional to 315.19, 471.63 and 191.35

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Solution

The fourth proportional to 315.19, 471.63 and 191.35 is: 286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.19 : 471.63 = 191.35 : x
  2. Step 2: Convert to fraction form
    315.19/471.63 = 191.35/x
  3. Step 3: Cross multiply
    315.19x = 471.63 × 191.35
  4. Step 4: Simplify right side
    315.19x = 90,246.40
  5. Step 5: Solve for x
    x = 90,246.40/315.19
  6. Step 6: Final answer
    x = 286.32

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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.