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Finding the Fourth Proportional to 314.07, 470.76 and 176.91

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Solution

The fourth proportional to 314.07, 470.76 and 176.91 is: 265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.07 : 470.76 = 176.91 : x
  2. Step 2: Convert to fraction form
    314.07/470.76 = 176.91/x
  3. Step 3: Cross multiply
    314.07x = 470.76 × 176.91
  4. Step 4: Simplify right side
    314.07x = 83,282.15
  5. Step 5: Solve for x
    x = 83,282.15/314.07
  6. Step 6: Final answer
    x = 265.17

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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.