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Finding the Fourth Proportional to 176.98, 264.00 and 148.28

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Solution

The fourth proportional to 176.98, 264.00 and 148.28 is: 221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.98 : 264.00 = 148.28 : x
  2. Step 2: Convert to fraction form
    176.98/264.00 = 148.28/x
  3. Step 3: Cross multiply
    176.98x = 264.00 × 148.28
  4. Step 4: Simplify right side
    176.98x = 39,143.86
  5. Step 5: Solve for x
    x = 39,143.86/176.98
  6. Step 6: Final answer
    x = 221.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.