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Finding the Fourth Proportional to 314.10, 470.52 and 155.56

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Solution

The fourth proportional to 314.10, 470.52 and 155.56 is: 233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 470.52 = 155.56 : x
  2. Step 2: Convert to fraction form
    314.10/470.52 = 155.56/x
  3. Step 3: Cross multiply
    314.10x = 470.52 × 155.56
  4. Step 4: Simplify right side
    314.10x = 73,194.09
  5. Step 5: Solve for x
    x = 73,194.09/314.10
  6. Step 6: Final answer
    x = 233.03

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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.