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Finding the Fourth Proportional to 261.61, 358.65 and 257.01

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Solution

The fourth proportional to 261.61, 358.65 and 257.01 is: 352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.61 : 358.65 = 257.01 : x
  2. Step 2: Convert to fraction form
    261.61/358.65 = 257.01/x
  3. Step 3: Cross multiply
    261.61x = 358.65 × 257.01
  4. Step 4: Simplify right side
    261.61x = 92,176.64
  5. Step 5: Solve for x
    x = 92,176.64/261.61
  6. Step 6: Final answer
    x = 352.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.