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Finding the Fourth Proportional to 176.48, 264.43 and 130.01

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Solution

The fourth proportional to 176.48, 264.43 and 130.01 is: 194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.48 : 264.43 = 130.01 : x
  2. Step 2: Convert to fraction form
    176.48/264.43 = 130.01/x
  3. Step 3: Cross multiply
    176.48x = 264.43 × 130.01
  4. Step 4: Simplify right side
    176.48x = 34,377.38
  5. Step 5: Solve for x
    x = 34,377.38/176.48
  6. Step 6: Final answer
    x = 194.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.