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Finding the Fourth Proportional to 370.16, 510.76 and 239.14

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Solution

The fourth proportional to 370.16, 510.76 and 239.14 is: 329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.16 : 510.76 = 239.14 : x
  2. Step 2: Convert to fraction form
    370.16/510.76 = 239.14/x
  3. Step 3: Cross multiply
    370.16x = 510.76 × 239.14
  4. Step 4: Simplify right side
    370.16x = 122,143.15
  5. Step 5: Solve for x
    x = 122,143.15/370.16
  6. Step 6: Final answer
    x = 329.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.