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Finding the Fourth Proportional to 265.68, 368.34 and 260.40

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Solution

The fourth proportional to 265.68, 368.34 and 260.40 is: 361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.68 : 368.34 = 260.40 : x
  2. Step 2: Convert to fraction form
    265.68/368.34 = 260.40/x
  3. Step 3: Cross multiply
    265.68x = 368.34 × 260.40
  4. Step 4: Simplify right side
    265.68x = 95,915.74
  5. Step 5: Solve for x
    x = 95,915.74/265.68
  6. Step 6: Final answer
    x = 361.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.