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Finding the Fourth Proportional to 306.84, 459.54 and 176.46

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Solution

The fourth proportional to 306.84, 459.54 and 176.46 is: 264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 459.54 = 176.46 : x
  2. Step 2: Convert to fraction form
    306.84/459.54 = 176.46/x
  3. Step 3: Cross multiply
    306.84x = 459.54 × 176.46
  4. Step 4: Simplify right side
    306.84x = 81,090.43
  5. Step 5: Solve for x
    x = 81,090.43/306.84
  6. Step 6: Final answer
    x = 264.28

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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.