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Finding the Fourth Proportional to 186.03, 256.77 and 157.14

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Solution

The fourth proportional to 186.03, 256.77 and 157.14 is: 216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.03 : 256.77 = 157.14 : x
  2. Step 2: Convert to fraction form
    186.03/256.77 = 157.14/x
  3. Step 3: Cross multiply
    186.03x = 256.77 × 157.14
  4. Step 4: Simplify right side
    186.03x = 40,348.84
  5. Step 5: Solve for x
    x = 40,348.84/186.03
  6. Step 6: Final answer
    x = 216.89

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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.