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Finding the Fourth Proportional to 314.04, 433.30 and 176.04

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Solution

The fourth proportional to 314.04, 433.30 and 176.04 is: 242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.04 : 433.30 = 176.04 : x
  2. Step 2: Convert to fraction form
    314.04/433.30 = 176.04/x
  3. Step 3: Cross multiply
    314.04x = 433.30 × 176.04
  4. Step 4: Simplify right side
    314.04x = 76,278.13
  5. Step 5: Solve for x
    x = 76,278.13/314.04
  6. Step 6: Final answer
    x = 242.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.