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Finding the Fourth Proportional to 176, 242.88 and 106.08

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Solution

The fourth proportional to 176, 242.88 and 106.08 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176 : 242.88 = 106.08 : x
  2. Step 2: Convert to fraction form
    176/242.88 = 106.08/x
  3. Step 3: Cross multiply
    176x = 242.88 × 106.08
  4. Step 4: Simplify right side
    176x = 25,764.71
  5. Step 5: Solve for x
    x = 25,764.71/176
  6. Step 6: Final answer
    x = 146.39

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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.