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Finding the Fourth Proportional to 340.38, 510.63 and 148.02

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Solution

The fourth proportional to 340.38, 510.63 and 148.02 is: 222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.38 : 510.63 = 148.02 : x
  2. Step 2: Convert to fraction form
    340.38/510.63 = 148.02/x
  3. Step 3: Cross multiply
    340.38x = 510.63 × 148.02
  4. Step 4: Simplify right side
    340.38x = 75,583.45
  5. Step 5: Solve for x
    x = 75,583.45/340.38
  6. Step 6: Final answer
    x = 222.06

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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.