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Finding the Fourth Proportional to 207.47, 286.23 and 148.46

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Solution

The fourth proportional to 207.47, 286.23 and 148.46 is: 204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.47 : 286.23 = 148.46 : x
  2. Step 2: Convert to fraction form
    207.47/286.23 = 148.46/x
  3. Step 3: Cross multiply
    207.47x = 286.23 × 148.46
  4. Step 4: Simplify right side
    207.47x = 42,492.27
  5. Step 5: Solve for x
    x = 42,492.27/207.47
  6. Step 6: Final answer
    x = 204.82

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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.