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Finding the Fourth Proportional to 316.13, 435.87 and 222.84

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Solution

The fourth proportional to 316.13, 435.87 and 222.84 is: 307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.13 : 435.87 = 222.84 : x
  2. Step 2: Convert to fraction form
    316.13/435.87 = 222.84/x
  3. Step 3: Cross multiply
    316.13x = 435.87 × 222.84
  4. Step 4: Simplify right side
    316.13x = 97,129.27
  5. Step 5: Solve for x
    x = 97,129.27/316.13
  6. Step 6: Final answer
    x = 307.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.