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Finding the Fourth Proportional to 176.71, 266.26 and 146.94

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Solution

The fourth proportional to 176.71, 266.26 and 146.94 is: 221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.71 : 266.26 = 146.94 : x
  2. Step 2: Convert to fraction form
    176.71/266.26 = 146.94/x
  3. Step 3: Cross multiply
    176.71x = 266.26 × 146.94
  4. Step 4: Simplify right side
    176.71x = 39,124.24
  5. Step 5: Solve for x
    x = 39,124.24/176.71
  6. Step 6: Final answer
    x = 221.40

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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.