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Finding the Fourth Proportional to 270.12, 372.74 and 152.07

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Solution

The fourth proportional to 270.12, 372.74 and 152.07 is: 209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.12 : 372.74 = 152.07 : x
  2. Step 2: Convert to fraction form
    270.12/372.74 = 152.07/x
  3. Step 3: Cross multiply
    270.12x = 372.74 × 152.07
  4. Step 4: Simplify right side
    270.12x = 56,682.57
  5. Step 5: Solve for x
    x = 56,682.57/270.12
  6. Step 6: Final answer
    x = 209.84

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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.