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Finding the Fourth Proportional to 416.10, 624.17 and 156.09

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Solution

The fourth proportional to 416.10, 624.17 and 156.09 is: 234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.10 : 624.17 = 156.09 : x
  2. Step 2: Convert to fraction form
    416.10/624.17 = 156.09/x
  3. Step 3: Cross multiply
    416.10x = 624.17 × 156.09
  4. Step 4: Simplify right side
    416.10x = 97,427.67
  5. Step 5: Solve for x
    x = 97,427.67/416.10
  6. Step 6: Final answer
    x = 234.15

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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.