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Finding the Fourth Proportional to 354.01, 530.16 and 180.22

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Solution

The fourth proportional to 354.01, 530.16 and 180.22 is: 269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.01 : 530.16 = 180.22 : x
  2. Step 2: Convert to fraction form
    354.01/530.16 = 180.22/x
  3. Step 3: Cross multiply
    354.01x = 530.16 × 180.22
  4. Step 4: Simplify right side
    354.01x = 95,547.21
  5. Step 5: Solve for x
    x = 95,547.21/354.01
  6. Step 6: Final answer
    x = 269.90

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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.