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Finding the Fourth Proportional to 207.63, 286.61 and 152.28

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Solution

The fourth proportional to 207.63, 286.61 and 152.28 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.63 : 286.61 = 152.28 : x
  2. Step 2: Convert to fraction form
    207.63/286.61 = 152.28/x
  3. Step 3: Cross multiply
    207.63x = 286.61 × 152.28
  4. Step 4: Simplify right side
    207.63x = 43,644.21
  5. Step 5: Solve for x
    x = 43,644.21/207.63
  6. Step 6: Final answer
    x = 210.20

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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.