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Finding the Fourth Proportional to 254.16, 346.05 and 253.35

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Solution

The fourth proportional to 254.16, 346.05 and 253.35 is: 344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 346.05 = 253.35 : x
  2. Step 2: Convert to fraction form
    254.16/346.05 = 253.35/x
  3. Step 3: Cross multiply
    254.16x = 346.05 × 253.35
  4. Step 4: Simplify right side
    254.16x = 87,671.77
  5. Step 5: Solve for x
    x = 87,671.77/254.16
  6. Step 6: Final answer
    x = 344.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.