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Finding the Fourth Proportional to 212.95, 293.45 and 180.15

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Solution

The fourth proportional to 212.95, 293.45 and 180.15 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.95 : 293.45 = 180.15 : x
  2. Step 2: Convert to fraction form
    212.95/293.45 = 180.15/x
  3. Step 3: Cross multiply
    212.95x = 293.45 × 180.15
  4. Step 4: Simplify right side
    212.95x = 52,865.02
  5. Step 5: Solve for x
    x = 52,865.02/212.95
  6. Step 6: Final answer
    x = 248.25

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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.