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Finding the Fourth Proportional to 314.25, 470.64 and 176.94

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Solution

The fourth proportional to 314.25, 470.64 and 176.94 is: 265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 470.64 = 176.94 : x
  2. Step 2: Convert to fraction form
    314.25/470.64 = 176.94/x
  3. Step 3: Cross multiply
    314.25x = 470.64 × 176.94
  4. Step 4: Simplify right side
    314.25x = 83,275.04
  5. Step 5: Solve for x
    x = 83,275.04/314.25
  6. Step 6: Final answer
    x = 265.00

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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.