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Finding the Fourth Proportional to 223.16, 307.86 and 135.80

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Solution

The fourth proportional to 223.16, 307.86 and 135.80 is: 187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 307.86 = 135.80 : x
  2. Step 2: Convert to fraction form
    223.16/307.86 = 135.80/x
  3. Step 3: Cross multiply
    223.16x = 307.86 × 135.80
  4. Step 4: Simplify right side
    223.16x = 41,807.39
  5. Step 5: Solve for x
    x = 41,807.39/223.16
  6. Step 6: Final answer
    x = 187.34

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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.