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Finding the Fourth Proportional to 336.08, 463.80 and 186.72

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Solution

The fourth proportional to 336.08, 463.80 and 186.72 is: 257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.08 : 463.80 = 186.72 : x
  2. Step 2: Convert to fraction form
    336.08/463.80 = 186.72/x
  3. Step 3: Cross multiply
    336.08x = 463.80 × 186.72
  4. Step 4: Simplify right side
    336.08x = 86,600.74
  5. Step 5: Solve for x
    x = 86,600.74/336.08
  6. Step 6: Final answer
    x = 257.68

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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.