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Finding the Fourth Proportional to 340.37, 510.56 and 96.90

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Solution

The fourth proportional to 340.37, 510.56 and 96.90 is: 145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.37 : 510.56 = 96.90 : x
  2. Step 2: Convert to fraction form
    340.37/510.56 = 96.90/x
  3. Step 3: Cross multiply
    340.37x = 510.56 × 96.90
  4. Step 4: Simplify right side
    340.37x = 49,472.78
  5. Step 5: Solve for x
    x = 49,472.78/340.37
  6. Step 6: Final answer
    x = 145.35

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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.