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Finding the Fourth Proportional to 186.30, 257.48 and 155.22

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Solution

The fourth proportional to 186.30, 257.48 and 155.22 is: 214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 257.48 = 155.22 : x
  2. Step 2: Convert to fraction form
    186.30/257.48 = 155.22/x
  3. Step 3: Cross multiply
    186.30x = 257.48 × 155.22
  4. Step 4: Simplify right side
    186.30x = 39,964.89
  5. Step 5: Solve for x
    x = 39,964.89/186.30
  6. Step 6: Final answer
    x = 214.52

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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.