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Finding the Fourth Proportional to 294.65, 406.57 and 176.59

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Solution

The fourth proportional to 294.65, 406.57 and 176.59 is: 243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.65 : 406.57 = 176.59 : x
  2. Step 2: Convert to fraction form
    294.65/406.57 = 176.59/x
  3. Step 3: Cross multiply
    294.65x = 406.57 × 176.59
  4. Step 4: Simplify right side
    294.65x = 71,795.31
  5. Step 5: Solve for x
    x = 71,795.31/294.65
  6. Step 6: Final answer
    x = 243.67

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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.