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Finding the Fourth Proportional to 402.65, 603.95 and 114.06

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Solution

The fourth proportional to 402.65, 603.95 and 114.06 is: 171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.65 : 603.95 = 114.06 : x
  2. Step 2: Convert to fraction form
    402.65/603.95 = 114.06/x
  3. Step 3: Cross multiply
    402.65x = 603.95 × 114.06
  4. Step 4: Simplify right side
    402.65x = 68,886.54
  5. Step 5: Solve for x
    x = 68,886.54/402.65
  6. Step 6: Final answer
    x = 171.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.