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Finding the Fourth Proportional to 270.43, 373.12 and 152.38

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Solution

The fourth proportional to 270.43, 373.12 and 152.38 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.43 : 373.12 = 152.38 : x
  2. Step 2: Convert to fraction form
    270.43/373.12 = 152.38/x
  3. Step 3: Cross multiply
    270.43x = 373.12 × 152.38
  4. Step 4: Simplify right side
    270.43x = 56,854.16
  5. Step 5: Solve for x
    x = 56,854.16/270.43
  6. Step 6: Final answer
    x = 210.24

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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.