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Finding the Fourth Proportional to 285.40, 393.66 and 187.12

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Solution

The fourth proportional to 285.40, 393.66 and 187.12 is: 258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.40 : 393.66 = 187.12 : x
  2. Step 2: Convert to fraction form
    285.40/393.66 = 187.12/x
  3. Step 3: Cross multiply
    285.40x = 393.66 × 187.12
  4. Step 4: Simplify right side
    285.40x = 73,661.66
  5. Step 5: Solve for x
    x = 73,661.66/285.40
  6. Step 6: Final answer
    x = 258.10

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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.