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Finding the Fourth Proportional to 207, 285.06 and 186.24

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Solution

The fourth proportional to 207, 285.06 and 186.24 is: 256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207 : 285.06 = 186.24 : x
  2. Step 2: Convert to fraction form
    207/285.06 = 186.24/x
  3. Step 3: Cross multiply
    207x = 285.06 × 186.24
  4. Step 4: Simplify right side
    207x = 53,089.57
  5. Step 5: Solve for x
    x = 53,089.57/207
  6. Step 6: Final answer
    x = 256.47

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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.