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Finding the Fourth Proportional to 315.14, 472.69 and 120.06

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Solution

The fourth proportional to 315.14, 472.69 and 120.06 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 472.69 = 120.06 : x
  2. Step 2: Convert to fraction form
    315.14/472.69 = 120.06/x
  3. Step 3: Cross multiply
    315.14x = 472.69 × 120.06
  4. Step 4: Simplify right side
    315.14x = 56,749.31
  5. Step 5: Solve for x
    x = 56,749.31/315.14
  6. Step 6: Final answer
    x = 180.08

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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.