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Finding the Fourth Proportional to 452.34, 678.45 and 185.22

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Solution

The fourth proportional to 452.34, 678.45 and 185.22 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.34 : 678.45 = 185.22 : x
  2. Step 2: Convert to fraction form
    452.34/678.45 = 185.22/x
  3. Step 3: Cross multiply
    452.34x = 678.45 × 185.22
  4. Step 4: Simplify right side
    452.34x = 125,662.51
  5. Step 5: Solve for x
    x = 125,662.51/452.34
  6. Step 6: Final answer
    x = 277.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.