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Finding the Fourth Proportional to 268.71, 370.80 and 152.25

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Solution

The fourth proportional to 268.71, 370.80 and 152.25 is: 210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.71 : 370.80 = 152.25 : x
  2. Step 2: Convert to fraction form
    268.71/370.80 = 152.25/x
  3. Step 3: Cross multiply
    268.71x = 370.80 × 152.25
  4. Step 4: Simplify right side
    268.71x = 56,454.30
  5. Step 5: Solve for x
    x = 56,454.30/268.71
  6. Step 6: Final answer
    x = 210.09

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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.