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Finding the Fourth Proportional to 245.63, 338.91 and 146.04

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Solution

The fourth proportional to 245.63, 338.91 and 146.04 is: 201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.63 : 338.91 = 146.04 : x
  2. Step 2: Convert to fraction form
    245.63/338.91 = 146.04/x
  3. Step 3: Cross multiply
    245.63x = 338.91 × 146.04
  4. Step 4: Simplify right side
    245.63x = 49,492.60
  5. Step 5: Solve for x
    x = 49,492.60/245.63
  6. Step 6: Final answer
    x = 201.50

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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.