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Finding the Fourth Proportional to 176.04, 262.99 and 140.01

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Solution

The fourth proportional to 176.04, 262.99 and 140.01 is: 209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.04 : 262.99 = 140.01 : x
  2. Step 2: Convert to fraction form
    176.04/262.99 = 140.01/x
  3. Step 3: Cross multiply
    176.04x = 262.99 × 140.01
  4. Step 4: Simplify right side
    176.04x = 36,820.88
  5. Step 5: Solve for x
    x = 36,820.88/176.04
  6. Step 6: Final answer
    x = 209.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.