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Finding the Fourth Proportional to 314.19, 470.49 and 177.08

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Solution

The fourth proportional to 314.19, 470.49 and 177.08 is: 265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.19 : 470.49 = 177.08 : x
  2. Step 2: Convert to fraction form
    314.19/470.49 = 177.08/x
  3. Step 3: Cross multiply
    314.19x = 470.49 × 177.08
  4. Step 4: Simplify right side
    314.19x = 83,312.02
  5. Step 5: Solve for x
    x = 83,312.02/314.19
  6. Step 6: Final answer
    x = 265.16

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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.