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Finding the Fourth Proportional to 176.09, 242.87 and 141.08

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Solution

The fourth proportional to 176.09, 242.87 and 141.08 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.09 : 242.87 = 141.08 : x
  2. Step 2: Convert to fraction form
    176.09/242.87 = 141.08/x
  3. Step 3: Cross multiply
    176.09x = 242.87 × 141.08
  4. Step 4: Simplify right side
    176.09x = 34,262.18
  5. Step 5: Solve for x
    x = 34,262.18/176.09
  6. Step 6: Final answer
    x = 194.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.