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Finding the Fourth Proportional to 314.36, 471.38 and 106.06

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Solution

The fourth proportional to 314.36, 471.38 and 106.06 is: 159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.36 : 471.38 = 106.06 : x
  2. Step 2: Convert to fraction form
    314.36/471.38 = 106.06/x
  3. Step 3: Cross multiply
    314.36x = 471.38 × 106.06
  4. Step 4: Simplify right side
    314.36x = 49,992.21
  5. Step 5: Solve for x
    x = 49,992.21/314.36
  6. Step 6: Final answer
    x = 159.03

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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.