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Finding the Fourth Proportional to 178.24, 266.98 and 176.08

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Solution

The fourth proportional to 178.24, 266.98 and 176.08 is: 263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 266.98 = 176.08 : x
  2. Step 2: Convert to fraction form
    178.24/266.98 = 176.08/x
  3. Step 3: Cross multiply
    178.24x = 266.98 × 176.08
  4. Step 4: Simplify right side
    178.24x = 47,009.84
  5. Step 5: Solve for x
    x = 47,009.84/178.24
  6. Step 6: Final answer
    x = 263.74

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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.