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Finding the Fourth Proportional to 310.40, 465.00 and 180.08

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Solution

The fourth proportional to 310.40, 465.00 and 180.08 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.40 : 465.00 = 180.08 : x
  2. Step 2: Convert to fraction form
    310.40/465.00 = 180.08/x
  3. Step 3: Cross multiply
    310.40x = 465.00 × 180.08
  4. Step 4: Simplify right side
    310.40x = 83,735.94
  5. Step 5: Solve for x
    x = 83,735.94/310.40
  6. Step 6: Final answer
    x = 269.77

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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.