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Finding the Fourth Proportional to 207.24, 286.36 and 152.16

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Solution

The fourth proportional to 207.24, 286.36 and 152.16 is: 210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.24 : 286.36 = 152.16 : x
  2. Step 2: Convert to fraction form
    207.24/286.36 = 152.16/x
  3. Step 3: Cross multiply
    207.24x = 286.36 × 152.16
  4. Step 4: Simplify right side
    207.24x = 43,572.54
  5. Step 5: Solve for x
    x = 43,572.54/207.24
  6. Step 6: Final answer
    x = 210.25

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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.