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Finding the Fourth Proportional to 397.16, 595.42 and 169

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Solution

The fourth proportional to 397.16, 595.42 and 169 is: 253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.16 : 595.42 = 169 : x
  2. Step 2: Convert to fraction form
    397.16/595.42 = 169/x
  3. Step 3: Cross multiply
    397.16x = 595.42 × 169
  4. Step 4: Simplify right side
    397.16x = 100,625.98
  5. Step 5: Solve for x
    x = 100,625.98/397.16
  6. Step 6: Final answer
    x = 253.36

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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.