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Finding the Fourth Proportional to 214.86, 320.40 and 186.18

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Solution

The fourth proportional to 214.86, 320.40 and 186.18 is: 277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.86 : 320.40 = 186.18 : x
  2. Step 2: Convert to fraction form
    214.86/320.40 = 186.18/x
  3. Step 3: Cross multiply
    214.86x = 320.40 × 186.18
  4. Step 4: Simplify right side
    214.86x = 59,652.07
  5. Step 5: Solve for x
    x = 59,652.07/214.86
  6. Step 6: Final answer
    x = 277.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.