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Finding the Fourth Proportional to 497.17, 745.72 and 150.50

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Solution

The fourth proportional to 497.17, 745.72 and 150.50 is: 225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.17 : 745.72 = 150.50 : x
  2. Step 2: Convert to fraction form
    497.17/745.72 = 150.50/x
  3. Step 3: Cross multiply
    497.17x = 745.72 × 150.50
  4. Step 4: Simplify right side
    497.17x = 112,226.38
  5. Step 5: Solve for x
    x = 112,226.38/497.17
  6. Step 6: Final answer
    x = 225.73

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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.