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Finding the Fourth Proportional to 176.16, 264.36 and 99.06

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Solution

The fourth proportional to 176.16, 264.36 and 99.06 is: 148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.16 : 264.36 = 99.06 : x
  2. Step 2: Convert to fraction form
    176.16/264.36 = 99.06/x
  3. Step 3: Cross multiply
    176.16x = 264.36 × 99.06
  4. Step 4: Simplify right side
    176.16x = 26,187.50
  5. Step 5: Solve for x
    x = 26,187.50/176.16
  6. Step 6: Final answer
    x = 148.66

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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.