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Finding the Fourth Proportional to 315.50, 472.93 and 109.93

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Solution

The fourth proportional to 315.50, 472.93 and 109.93 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.50 : 472.93 = 109.93 : x
  2. Step 2: Convert to fraction form
    315.50/472.93 = 109.93/x
  3. Step 3: Cross multiply
    315.50x = 472.93 × 109.93
  4. Step 4: Simplify right side
    315.50x = 51,989.19
  5. Step 5: Solve for x
    x = 51,989.19/315.50
  6. Step 6: Final answer
    x = 164.78

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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.