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Finding the Fourth Proportional to 315.17, 472.75 and 109.69

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Solution

The fourth proportional to 315.17, 472.75 and 109.69 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.17 : 472.75 = 109.69 : x
  2. Step 2: Convert to fraction form
    315.17/472.75 = 109.69/x
  3. Step 3: Cross multiply
    315.17x = 472.75 × 109.69
  4. Step 4: Simplify right side
    315.17x = 51,855.04
  5. Step 5: Solve for x
    x = 51,855.04/315.17
  6. Step 6: Final answer
    x = 164.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.