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Finding the Fourth Proportional to 314.08, 470.80 and 176.96

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Solution

The fourth proportional to 314.08, 470.80 and 176.96 is: 265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.08 : 470.80 = 176.96 : x
  2. Step 2: Convert to fraction form
    314.08/470.80 = 176.96/x
  3. Step 3: Cross multiply
    314.08x = 470.80 × 176.96
  4. Step 4: Simplify right side
    314.08x = 83,312.77
  5. Step 5: Solve for x
    x = 83,312.77/314.08
  6. Step 6: Final answer
    x = 265.26

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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.