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Finding the Fourth Proportional to 310.02, 465.44 and 180.14

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Solution

The fourth proportional to 310.02, 465.44 and 180.14 is: 270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.02 : 465.44 = 180.14 : x
  2. Step 2: Convert to fraction form
    310.02/465.44 = 180.14/x
  3. Step 3: Cross multiply
    310.02x = 465.44 × 180.14
  4. Step 4: Simplify right side
    310.02x = 83,844.36
  5. Step 5: Solve for x
    x = 83,844.36/310.02
  6. Step 6: Final answer
    x = 270.45

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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.