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Finding the Fourth Proportional to 303.79, 455.61 and 141.31

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Solution

The fourth proportional to 303.79, 455.61 and 141.31 is: 211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.79 : 455.61 = 141.31 : x
  2. Step 2: Convert to fraction form
    303.79/455.61 = 141.31/x
  3. Step 3: Cross multiply
    303.79x = 455.61 × 141.31
  4. Step 4: Simplify right side
    303.79x = 64,382.25
  5. Step 5: Solve for x
    x = 64,382.25/303.79
  6. Step 6: Final answer
    x = 211.93

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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.