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Finding the Fourth Proportional to 245.40, 338.63 and 147.15

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Solution

The fourth proportional to 245.40, 338.63 and 147.15 is: 203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.40 : 338.63 = 147.15 : x
  2. Step 2: Convert to fraction form
    245.40/338.63 = 147.15/x
  3. Step 3: Cross multiply
    245.40x = 338.63 × 147.15
  4. Step 4: Simplify right side
    245.40x = 49,828.67
  5. Step 5: Solve for x
    x = 49,828.67/245.40
  6. Step 6: Final answer
    x = 203.05

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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.