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Finding the Fourth Proportional to 317.84, 438.63 and 186.86

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Solution

The fourth proportional to 317.84, 438.63 and 186.86 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 438.63 = 186.86 : x
  2. Step 2: Convert to fraction form
    317.84/438.63 = 186.86/x
  3. Step 3: Cross multiply
    317.84x = 438.63 × 186.86
  4. Step 4: Simplify right side
    317.84x = 81,962.40
  5. Step 5: Solve for x
    x = 81,962.40/317.84
  6. Step 6: Final answer
    x = 257.87

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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.