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Finding the Fourth Proportional to 176.00, 242.75 and 155.25

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Solution

The fourth proportional to 176.00, 242.75 and 155.25 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.00 : 242.75 = 155.25 : x
  2. Step 2: Convert to fraction form
    176.00/242.75 = 155.25/x
  3. Step 3: Cross multiply
    176.00x = 242.75 × 155.25
  4. Step 4: Simplify right side
    176.00x = 37,687.33
  5. Step 5: Solve for x
    x = 37,687.33/176.00
  6. Step 6: Final answer
    x = 214.14

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Why These Related Problems?

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