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Finding the Fourth Proportional to 416.66, 624.95 and 128.02

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Solution

The fourth proportional to 416.66, 624.95 and 128.02 is: 192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.66 : 624.95 = 128.02 : x
  2. Step 2: Convert to fraction form
    416.66/624.95 = 128.02/x
  3. Step 3: Cross multiply
    416.66x = 624.95 × 128.02
  4. Step 4: Simplify right side
    416.66x = 80,006.10
  5. Step 5: Solve for x
    x = 80,006.10/416.66
  6. Step 6: Final answer
    x = 192.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.