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Finding the Fourth Proportional to 340.13, 509.81 and 202.98

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Solution

The fourth proportional to 340.13, 509.81 and 202.98 is: 304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 509.81 = 202.98 : x
  2. Step 2: Convert to fraction form
    340.13/509.81 = 202.98/x
  3. Step 3: Cross multiply
    340.13x = 509.81 × 202.98
  4. Step 4: Simplify right side
    340.13x = 103,480.22
  5. Step 5: Solve for x
    x = 103,480.22/340.13
  6. Step 6: Final answer
    x = 304.24

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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.