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Finding the Fourth Proportional to 333.90, 460.71 and 186.53

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Solution

The fourth proportional to 333.90, 460.71 and 186.53 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.90 : 460.71 = 186.53 : x
  2. Step 2: Convert to fraction form
    333.90/460.71 = 186.53/x
  3. Step 3: Cross multiply
    333.90x = 460.71 × 186.53
  4. Step 4: Simplify right side
    333.90x = 85,933.93
  5. Step 5: Solve for x
    x = 85,933.93/333.90
  6. Step 6: Final answer
    x = 257.36

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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.