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Finding the Fourth Proportional to 310.02, 465.14 and 188.36

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Solution

The fourth proportional to 310.02, 465.14 and 188.36 is: 282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.02 : 465.14 = 188.36 : x
  2. Step 2: Convert to fraction form
    310.02/465.14 = 188.36/x
  3. Step 3: Cross multiply
    310.02x = 465.14 × 188.36
  4. Step 4: Simplify right side
    310.02x = 87,613.77
  5. Step 5: Solve for x
    x = 87,613.77/310.02
  6. Step 6: Final answer
    x = 282.61

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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.