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Finding the Fourth Proportional to 176.58, 266.07 and 146.82

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Solution

The fourth proportional to 176.58, 266.07 and 146.82 is: 221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.58 : 266.07 = 146.82 : x
  2. Step 2: Convert to fraction form
    176.58/266.07 = 146.82/x
  3. Step 3: Cross multiply
    176.58x = 266.07 × 146.82
  4. Step 4: Simplify right side
    176.58x = 39,064.40
  5. Step 5: Solve for x
    x = 39,064.40/176.58
  6. Step 6: Final answer
    x = 221.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.