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Finding the Fourth Proportional to 840.03, 1,260.14 and 223.76

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Solution

The fourth proportional to 840.03, 1,260.14 and 223.76 is: 335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.03 : 1,260.14 = 223.76 : x
  2. Step 2: Convert to fraction form
    840.03/1,260.14 = 223.76/x
  3. Step 3: Cross multiply
    840.03x = 1,260.14 × 223.76
  4. Step 4: Simplify right side
    840.03x = 281,961.51
  5. Step 5: Solve for x
    x = 281,961.51/840.03
  6. Step 6: Final answer
    x = 335.66

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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.