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Finding the Fourth Proportional to 335.76, 503.84 and 143.38

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Solution

The fourth proportional to 335.76, 503.84 and 143.38 is: 215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.76 : 503.84 = 143.38 : x
  2. Step 2: Convert to fraction form
    335.76/503.84 = 143.38/x
  3. Step 3: Cross multiply
    335.76x = 503.84 × 143.38
  4. Step 4: Simplify right side
    335.76x = 72,240.58
  5. Step 5: Solve for x
    x = 72,240.58/335.76
  6. Step 6: Final answer
    x = 215.16

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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.