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Finding the Fourth Proportional to 270.31, 373.05 and 152.30

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Solution

The fourth proportional to 270.31, 373.05 and 152.30 is: 210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.31 : 373.05 = 152.30 : x
  2. Step 2: Convert to fraction form
    270.31/373.05 = 152.30/x
  3. Step 3: Cross multiply
    270.31x = 373.05 × 152.30
  4. Step 4: Simplify right side
    270.31x = 56,815.52
  5. Step 5: Solve for x
    x = 56,815.52/270.31
  6. Step 6: Final answer
    x = 210.19

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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.