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Finding the Fourth Proportional to 340.56, 510.64 and 121.10

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Solution

The fourth proportional to 340.56, 510.64 and 121.10 is: 181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.56 : 510.64 = 121.10 : x
  2. Step 2: Convert to fraction form
    340.56/510.64 = 121.10/x
  3. Step 3: Cross multiply
    340.56x = 510.64 × 121.10
  4. Step 4: Simplify right side
    340.56x = 61,838.50
  5. Step 5: Solve for x
    x = 61,838.50/340.56
  6. Step 6: Final answer
    x = 181.58

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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.