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Finding the Fourth Proportional to 223.88, 307.98 and 188.60

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Solution

The fourth proportional to 223.88, 307.98 and 188.60 is: 259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 307.98 = 188.60 : x
  2. Step 2: Convert to fraction form
    223.88/307.98 = 188.60/x
  3. Step 3: Cross multiply
    223.88x = 307.98 × 188.60
  4. Step 4: Simplify right side
    223.88x = 58,085.03
  5. Step 5: Solve for x
    x = 58,085.03/223.88
  6. Step 6: Final answer
    x = 259.45

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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.