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Finding the Fourth Proportional to 150.00, 224.98 and 41.77

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Solution

The fourth proportional to 150.00, 224.98 and 41.77 is: 62.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.00 : 224.98 = 41.77 : x
  2. Step 2: Convert to fraction form
    150.00/224.98 = 41.77/x
  3. Step 3: Cross multiply
    150.00x = 224.98 × 41.77
  4. Step 4: Simplify right side
    150.00x = 9,396.33
  5. Step 5: Solve for x
    x = 9,396.33/150.00
  6. Step 6: Final answer
    x = 62.64

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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.