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Finding the Fourth Proportional to 315.16, 472.44 and 120.02

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Solution

The fourth proportional to 315.16, 472.44 and 120.02 is: 179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.16 : 472.44 = 120.02 : x
  2. Step 2: Convert to fraction form
    315.16/472.44 = 120.02/x
  3. Step 3: Cross multiply
    315.16x = 472.44 × 120.02
  4. Step 4: Simplify right side
    315.16x = 56,703.43
  5. Step 5: Solve for x
    x = 56,703.43/315.16
  6. Step 6: Final answer
    x = 179.92

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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.