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Finding the Fourth Proportional to 314.17, 470.83 and 177.01

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Solution

The fourth proportional to 314.17, 470.83 and 177.01 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.17 : 470.83 = 177.01 : x
  2. Step 2: Convert to fraction form
    314.17/470.83 = 177.01/x
  3. Step 3: Cross multiply
    314.17x = 470.83 × 177.01
  4. Step 4: Simplify right side
    314.17x = 83,341.62
  5. Step 5: Solve for x
    x = 83,341.62/314.17
  6. Step 6: Final answer
    x = 265.28

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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.