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Finding the Fourth Proportional to 340.16, 510.33 and 145.19

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Solution

The fourth proportional to 340.16, 510.33 and 145.19 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 510.33 = 145.19 : x
  2. Step 2: Convert to fraction form
    340.16/510.33 = 145.19/x
  3. Step 3: Cross multiply
    340.16x = 510.33 × 145.19
  4. Step 4: Simplify right side
    340.16x = 74,094.81
  5. Step 5: Solve for x
    x = 74,094.81/340.16
  6. Step 6: Final answer
    x = 217.82

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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.