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Finding the Fourth Proportional to 303.66, 455.40 and 141.30

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Solution

The fourth proportional to 303.66, 455.40 and 141.30 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.66 : 455.40 = 141.30 : x
  2. Step 2: Convert to fraction form
    303.66/455.40 = 141.30/x
  3. Step 3: Cross multiply
    303.66x = 455.40 × 141.30
  4. Step 4: Simplify right side
    303.66x = 64,348.02
  5. Step 5: Solve for x
    x = 64,348.02/303.66
  6. Step 6: Final answer
    x = 211.91

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