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Finding the Fourth Proportional to 176.02, 263.64 and 147.06

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Solution

The fourth proportional to 176.02, 263.64 and 147.06 is: 220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.02 : 263.64 = 147.06 : x
  2. Step 2: Convert to fraction form
    176.02/263.64 = 147.06/x
  3. Step 3: Cross multiply
    176.02x = 263.64 × 147.06
  4. Step 4: Simplify right side
    176.02x = 38,770.90
  5. Step 5: Solve for x
    x = 38,770.90/176.02
  6. Step 6: Final answer
    x = 220.26

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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.