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Finding the Fourth Proportional to 315.39, 473.05 and 120.42

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Solution

The fourth proportional to 315.39, 473.05 and 120.42 is: 180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.39 : 473.05 = 120.42 : x
  2. Step 2: Convert to fraction form
    315.39/473.05 = 120.42/x
  3. Step 3: Cross multiply
    315.39x = 473.05 × 120.42
  4. Step 4: Simplify right side
    315.39x = 56,964.00
  5. Step 5: Solve for x
    x = 56,964.00/315.39
  6. Step 6: Final answer
    x = 180.62

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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.