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Finding the Fourth Proportional to 303.13, 454.83 and 164.35

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Solution

The fourth proportional to 303.13, 454.83 and 164.35 is: 246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.13 : 454.83 = 164.35 : x
  2. Step 2: Convert to fraction form
    303.13/454.83 = 164.35/x
  3. Step 3: Cross multiply
    303.13x = 454.83 × 164.35
  4. Step 4: Simplify right side
    303.13x = 74,751.31
  5. Step 5: Solve for x
    x = 74,751.31/303.13
  6. Step 6: Final answer
    x = 246.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.