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Finding the Fourth Proportional to 340.16, 510.26 and 96.70

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Solution

The fourth proportional to 340.16, 510.26 and 96.70 is: 145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 510.26 = 96.70 : x
  2. Step 2: Convert to fraction form
    340.16/510.26 = 96.70/x
  3. Step 3: Cross multiply
    340.16x = 510.26 × 96.70
  4. Step 4: Simplify right side
    340.16x = 49,342.14
  5. Step 5: Solve for x
    x = 49,342.14/340.16
  6. Step 6: Final answer
    x = 145.06

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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.