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Finding the Fourth Proportional to 176.64, 264.75 and 99.48

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Solution

The fourth proportional to 176.64, 264.75 and 99.48 is: 149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 264.75 = 99.48 : x
  2. Step 2: Convert to fraction form
    176.64/264.75 = 99.48/x
  3. Step 3: Cross multiply
    176.64x = 264.75 × 99.48
  4. Step 4: Simplify right side
    176.64x = 26,337.33
  5. Step 5: Solve for x
    x = 26,337.33/176.64
  6. Step 6: Final answer
    x = 149.10

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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.