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Finding the Fourth Proportional to 186.24, 256.98 and 116.28

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Solution

The fourth proportional to 186.24, 256.98 and 116.28 is: 160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 256.98 = 116.28 : x
  2. Step 2: Convert to fraction form
    186.24/256.98 = 116.28/x
  3. Step 3: Cross multiply
    186.24x = 256.98 × 116.28
  4. Step 4: Simplify right side
    186.24x = 29,881.63
  5. Step 5: Solve for x
    x = 29,881.63/186.24
  6. Step 6: Final answer
    x = 160.45

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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.