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Finding the Fourth Proportional to 314.02, 433.31 and 176.02

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Solution

The fourth proportional to 314.02, 433.31 and 176.02 is: 242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.02 : 433.31 = 176.02 : x
  2. Step 2: Convert to fraction form
    314.02/433.31 = 176.02/x
  3. Step 3: Cross multiply
    314.02x = 433.31 × 176.02
  4. Step 4: Simplify right side
    314.02x = 76,271.23
  5. Step 5: Solve for x
    x = 76,271.23/314.02
  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.