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Finding the Fourth Proportional to 223.08, 307.71 and 186.45

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Solution

The fourth proportional to 223.08, 307.71 and 186.45 is: 257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.08 : 307.71 = 186.45 : x
  2. Step 2: Convert to fraction form
    223.08/307.71 = 186.45/x
  3. Step 3: Cross multiply
    223.08x = 307.71 × 186.45
  4. Step 4: Simplify right side
    223.08x = 57,372.53
  5. Step 5: Solve for x
    x = 57,372.53/223.08
  6. Step 6: Final answer
    x = 257.18

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