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Finding the Fourth Proportional to 292.15, 403.15 and 181.64

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Solution

The fourth proportional to 292.15, 403.15 and 181.64 is: 250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.15 : 403.15 = 181.64 : x
  2. Step 2: Convert to fraction form
    292.15/403.15 = 181.64/x
  3. Step 3: Cross multiply
    292.15x = 403.15 × 181.64
  4. Step 4: Simplify right side
    292.15x = 73,226.15
  5. Step 5: Solve for x
    x = 73,226.15/292.15
  6. Step 6: Final answer
    x = 250.65

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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.