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Finding the Fourth Proportional to 340.13, 510.17 and 120.75

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Solution

The fourth proportional to 340.13, 510.17 and 120.75 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 510.17 = 120.75 : x
  2. Step 2: Convert to fraction form
    340.13/510.17 = 120.75/x
  3. Step 3: Cross multiply
    340.13x = 510.17 × 120.75
  4. Step 4: Simplify right side
    340.13x = 61,603.03
  5. Step 5: Solve for x
    x = 61,603.03/340.13
  6. Step 6: Final answer
    x = 181.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.