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Finding the Fourth Proportional to 416.02, 624.06 and 134.56

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Solution

The fourth proportional to 416.02, 624.06 and 134.56 is: 201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 624.06 = 134.56 : x
  2. Step 2: Convert to fraction form
    416.02/624.06 = 134.56/x
  3. Step 3: Cross multiply
    416.02x = 624.06 × 134.56
  4. Step 4: Simplify right side
    416.02x = 83,973.51
  5. Step 5: Solve for x
    x = 83,973.51/416.02
  6. Step 6: Final answer
    x = 201.85

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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.