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Finding the Fourth Proportional to 176.21, 265.51 and 146.45

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Solution

The fourth proportional to 176.21, 265.51 and 146.45 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.21 : 265.51 = 146.45 : x
  2. Step 2: Convert to fraction form
    176.21/265.51 = 146.45/x
  3. Step 3: Cross multiply
    176.21x = 265.51 × 146.45
  4. Step 4: Simplify right side
    176.21x = 38,881.88
  5. Step 5: Solve for x
    x = 38,881.88/176.21
  6. Step 6: Final answer
    x = 220.66

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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.