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Finding the Fourth Proportional to 317.34, 437.89 and 186.35

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Solution

The fourth proportional to 317.34, 437.89 and 186.35 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.34 : 437.89 = 186.35 : x
  2. Step 2: Convert to fraction form
    317.34/437.89 = 186.35/x
  3. Step 3: Cross multiply
    317.34x = 437.89 × 186.35
  4. Step 4: Simplify right side
    317.34x = 81,600.80
  5. Step 5: Solve for x
    x = 81,600.80/317.34
  6. Step 6: Final answer
    x = 257.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.