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Finding the Fourth Proportional to 313.94, 470.89 and 97.50

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Solution

The fourth proportional to 313.94, 470.89 and 97.50 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 470.89 = 97.50 : x
  2. Step 2: Convert to fraction form
    313.94/470.89 = 97.50/x
  3. Step 3: Cross multiply
    313.94x = 470.89 × 97.50
  4. Step 4: Simplify right side
    313.94x = 45,911.53
  5. Step 5: Solve for x
    x = 45,911.53/313.94
  6. Step 6: Final answer
    x = 146.24

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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.