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Finding the Fourth Proportional to 309.34, 463.86 and 147.07

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Solution

The fourth proportional to 309.34, 463.86 and 147.07 is: 220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 463.86 = 147.07 : x
  2. Step 2: Convert to fraction form
    309.34/463.86 = 147.07/x
  3. Step 3: Cross multiply
    309.34x = 463.86 × 147.07
  4. Step 4: Simplify right side
    309.34x = 68,219.89
  5. Step 5: Solve for x
    x = 68,219.89/309.34
  6. Step 6: Final answer
    x = 220.53

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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.