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Finding the Fourth Proportional to 309.35, 464.13 and 147.08

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Solution

The fourth proportional to 309.35, 464.13 and 147.08 is: 220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.35 : 464.13 = 147.08 : x
  2. Step 2: Convert to fraction form
    309.35/464.13 = 147.08/x
  3. Step 3: Cross multiply
    309.35x = 464.13 × 147.08
  4. Step 4: Simplify right side
    309.35x = 68,264.24
  5. Step 5: Solve for x
    x = 68,264.24/309.35
  6. Step 6: Final answer
    x = 220.67

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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.