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Finding the Fourth Proportional to 254.79, 351.63 and 176.07

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Solution

The fourth proportional to 254.79, 351.63 and 176.07 is: 242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.79 : 351.63 = 176.07 : x
  2. Step 2: Convert to fraction form
    254.79/351.63 = 176.07/x
  3. Step 3: Cross multiply
    254.79x = 351.63 × 176.07
  4. Step 4: Simplify right side
    254.79x = 61,911.49
  5. Step 5: Solve for x
    x = 61,911.49/254.79
  6. Step 6: Final answer
    x = 242.99

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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.