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Finding the Fourth Proportional to 389.84, 585.06 and 146.60

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Solution

The fourth proportional to 389.84, 585.06 and 146.60 is: 220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.84 : 585.06 = 146.60 : x
  2. Step 2: Convert to fraction form
    389.84/585.06 = 146.60/x
  3. Step 3: Cross multiply
    389.84x = 585.06 × 146.60
  4. Step 4: Simplify right side
    389.84x = 85,769.80
  5. Step 5: Solve for x
    x = 85,769.80/389.84
  6. Step 6: Final answer
    x = 220.01

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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.