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Finding the Fourth Proportional to 431.42, 647.10 and 157.46

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Solution

The fourth proportional to 431.42, 647.10 and 157.46 is: 236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 647.10 = 157.46 : x
  2. Step 2: Convert to fraction form
    431.42/647.10 = 157.46/x
  3. Step 3: Cross multiply
    431.42x = 647.10 × 157.46
  4. Step 4: Simplify right side
    431.42x = 101,892.37
  5. Step 5: Solve for x
    x = 101,892.37/431.42
  6. Step 6: Final answer
    x = 236.18

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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.