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Finding the Fourth Proportional to 291.45, 402.01 and 186.35

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Solution

The fourth proportional to 291.45, 402.01 and 186.35 is: 257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.45 : 402.01 = 186.35 : x
  2. Step 2: Convert to fraction form
    291.45/402.01 = 186.35/x
  3. Step 3: Cross multiply
    291.45x = 402.01 × 186.35
  4. Step 4: Simplify right side
    291.45x = 74,915.40
  5. Step 5: Solve for x
    x = 74,915.40/291.45
  6. Step 6: Final answer
    x = 257.05

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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.