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Finding the Fourth Proportional to 340.61, 510.85 and 97.07

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Solution

The fourth proportional to 340.61, 510.85 and 97.07 is: 145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 510.85 = 97.07 : x
  2. Step 2: Convert to fraction form
    340.61/510.85 = 97.07/x
  3. Step 3: Cross multiply
    340.61x = 510.85 × 97.07
  4. Step 4: Simplify right side
    340.61x = 49,587.72
  5. Step 5: Solve for x
    x = 49,587.72/340.61
  6. Step 6: Final answer
    x = 145.59

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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.