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Finding the Fourth Proportional to 320.07, 480.21 and 146.87

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Solution

The fourth proportional to 320.07, 480.21 and 146.87 is: 220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.07 : 480.21 = 146.87 : x
  2. Step 2: Convert to fraction form
    320.07/480.21 = 146.87/x
  3. Step 3: Cross multiply
    320.07x = 480.21 × 146.87
  4. Step 4: Simplify right side
    320.07x = 70,528.44
  5. Step 5: Solve for x
    x = 70,528.44/320.07
  6. Step 6: Final answer
    x = 220.35

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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.