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Finding the Fourth Proportional to 176.65, 264.86 and 130.40

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Solution

The fourth proportional to 176.65, 264.86 and 130.40 is: 195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.65 : 264.86 = 130.40 : x
  2. Step 2: Convert to fraction form
    176.65/264.86 = 130.40/x
  3. Step 3: Cross multiply
    176.65x = 264.86 × 130.40
  4. Step 4: Simplify right side
    176.65x = 34,538.73
  5. Step 5: Solve for x
    x = 34,538.73/176.65
  6. Step 6: Final answer
    x = 195.52

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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.