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Finding the Fourth Proportional to 176.25, 263.97 and 148.98

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Solution

The fourth proportional to 176.25, 263.97 and 148.98 is: 223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.25 : 263.97 = 148.98 : x
  2. Step 2: Convert to fraction form
    176.25/263.97 = 148.98/x
  3. Step 3: Cross multiply
    176.25x = 263.97 × 148.98
  4. Step 4: Simplify right side
    176.25x = 39,326.25
  5. Step 5: Solve for x
    x = 39,326.25/176.25
  6. Step 6: Final answer
    x = 223.13

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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.