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Finding the Fourth Proportional to 214.04, 294.37 and 186.44

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Solution

The fourth proportional to 214.04, 294.37 and 186.44 is: 256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.04 : 294.37 = 186.44 : x
  2. Step 2: Convert to fraction form
    214.04/294.37 = 186.44/x
  3. Step 3: Cross multiply
    214.04x = 294.37 × 186.44
  4. Step 4: Simplify right side
    214.04x = 54,880.40
  5. Step 5: Solve for x
    x = 54,880.40/214.04
  6. Step 6: Final answer
    x = 256.40

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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.