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Finding the Fourth Proportional to 370.06, 510.57 and 222.74

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Solution

The fourth proportional to 370.06, 510.57 and 222.74 is: 307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.06 : 510.57 = 222.74 : x
  2. Step 2: Convert to fraction form
    370.06/510.57 = 222.74/x
  3. Step 3: Cross multiply
    370.06x = 510.57 × 222.74
  4. Step 4: Simplify right side
    370.06x = 113,724.36
  5. Step 5: Solve for x
    x = 113,724.36/370.06
  6. Step 6: Final answer
    x = 307.31

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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.