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Finding the Fourth Proportional to 292.45, 403.57 and 180.40

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Solution

The fourth proportional to 292.45, 403.57 and 180.40 is: 248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.45 : 403.57 = 180.40 : x
  2. Step 2: Convert to fraction form
    292.45/403.57 = 180.40/x
  3. Step 3: Cross multiply
    292.45x = 403.57 × 180.40
  4. Step 4: Simplify right side
    292.45x = 72,803.61
  5. Step 5: Solve for x
    x = 72,803.61/292.45
  6. Step 6: Final answer
    x = 248.94

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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.