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Finding the Fourth Proportional to 176.65, 264.78 and 79.03

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Solution

The fourth proportional to 176.65, 264.78 and 79.03 is: 118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.65 : 264.78 = 79.03 : x
  2. Step 2: Convert to fraction form
    176.65/264.78 = 79.03/x
  3. Step 3: Cross multiply
    176.65x = 264.78 × 79.03
  4. Step 4: Simplify right side
    176.65x = 20,925.56
  5. Step 5: Solve for x
    x = 20,925.56/176.65
  6. Step 6: Final answer
    x = 118.46

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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.