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Finding the Fourth Proportional to 268.68, 370.82 and 152.24

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Solution

The fourth proportional to 268.68, 370.82 and 152.24 is: 210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.68 : 370.82 = 152.24 : x
  2. Step 2: Convert to fraction form
    268.68/370.82 = 152.24/x
  3. Step 3: Cross multiply
    268.68x = 370.82 × 152.24
  4. Step 4: Simplify right side
    268.68x = 56,453.64
  5. Step 5: Solve for x
    x = 56,453.64/268.68
  6. Step 6: Final answer
    x = 210.11

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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.