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Finding the Fourth Proportional to 285.20, 427.77 and 100.07

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Solution

The fourth proportional to 285.20, 427.77 and 100.07 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.20 : 427.77 = 100.07 : x
  2. Step 2: Convert to fraction form
    285.20/427.77 = 100.07/x
  3. Step 3: Cross multiply
    285.20x = 427.77 × 100.07
  4. Step 4: Simplify right side
    285.20x = 42,804.81
  5. Step 5: Solve for x
    x = 42,804.81/285.20
  6. Step 6: Final answer
    x = 150.09

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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.