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Finding the Fourth Proportional to 176.02, 264.02 and 73.26

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Solution

The fourth proportional to 176.02, 264.02 and 73.26 is: 109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.02 : 264.02 = 73.26 : x
  2. Step 2: Convert to fraction form
    176.02/264.02 = 73.26/x
  3. Step 3: Cross multiply
    176.02x = 264.02 × 73.26
  4. Step 4: Simplify right side
    176.02x = 19,342.11
  5. Step 5: Solve for x
    x = 19,342.11/176.02
  6. Step 6: Final answer
    x = 109.89

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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.