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Finding the Fourth Proportional to 310.92, 465.35 and 188.58

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Solution

The fourth proportional to 310.92, 465.35 and 188.58 is: 282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.92 : 465.35 = 188.58 : x
  2. Step 2: Convert to fraction form
    310.92/465.35 = 188.58/x
  3. Step 3: Cross multiply
    310.92x = 465.35 × 188.58
  4. Step 4: Simplify right side
    310.92x = 87,756.51
  5. Step 5: Solve for x
    x = 87,756.51/310.92
  6. Step 6: Final answer
    x = 282.25

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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.