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Finding the Fourth Proportional to 431.90, 647.74 and 157.98

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Solution

The fourth proportional to 431.90, 647.74 and 157.98 is: 236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 647.74 = 157.98 : x
  2. Step 2: Convert to fraction form
    431.90/647.74 = 157.98/x
  3. Step 3: Cross multiply
    431.90x = 647.74 × 157.98
  4. Step 4: Simplify right side
    431.90x = 102,329.18
  5. Step 5: Solve for x
    x = 102,329.18/431.90
  6. Step 6: Final answer
    x = 236.93

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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.