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Finding the Fourth Proportional to 313.59, 470.28 and 148.89

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Solution

The fourth proportional to 313.59, 470.28 and 148.89 is: 223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.59 : 470.28 = 148.89 : x
  2. Step 2: Convert to fraction form
    313.59/470.28 = 148.89/x
  3. Step 3: Cross multiply
    313.59x = 470.28 × 148.89
  4. Step 4: Simplify right side
    313.59x = 70,019.99
  5. Step 5: Solve for x
    x = 70,019.99/313.59
  6. Step 6: Final answer
    x = 223.29

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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.