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Finding the Fourth Proportional to 315.30, 472.81 and 98.83

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Solution

The fourth proportional to 315.30, 472.81 and 98.83 is: 148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.30 : 472.81 = 98.83 : x
  2. Step 2: Convert to fraction form
    315.30/472.81 = 98.83/x
  3. Step 3: Cross multiply
    315.30x = 472.81 × 98.83
  4. Step 4: Simplify right side
    315.30x = 46,727.81
  5. Step 5: Solve for x
    x = 46,727.81/315.30
  6. Step 6: Final answer
    x = 148.20

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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.