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Finding the Fourth Proportional to 176, 263.88 and 152

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Solution

The fourth proportional to 176, 263.88 and 152 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176 : 263.88 = 152 : x
  2. Step 2: Convert to fraction form
    176/263.88 = 152/x
  3. Step 3: Cross multiply
    176x = 263.88 × 152
  4. Step 4: Simplify right side
    176x = 40,109.76
  5. Step 5: Solve for x
    x = 40,109.76/176
  6. Step 6: Final answer
    x = 227.90

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Why These Related Problems?

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