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Finding the Fourth Proportional to 176.08, 242.12 and 155.40

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Solution

The fourth proportional to 176.08, 242.12 and 155.40 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.08 : 242.12 = 155.40 : x
  2. Step 2: Convert to fraction form
    176.08/242.12 = 155.40/x
  3. Step 3: Cross multiply
    176.08x = 242.12 × 155.40
  4. Step 4: Simplify right side
    176.08x = 37,625.45
  5. Step 5: Solve for x
    x = 37,625.45/176.08
  6. Step 6: Final answer
    x = 213.68

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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.