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Finding the Fourth Proportional to 320.04, 442.13 and 215.10

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Solution

The fourth proportional to 320.04, 442.13 and 215.10 is: 297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.04 : 442.13 = 215.10 : x
  2. Step 2: Convert to fraction form
    320.04/442.13 = 215.10/x
  3. Step 3: Cross multiply
    320.04x = 442.13 × 215.10
  4. Step 4: Simplify right side
    320.04x = 95,101.06
  5. Step 5: Solve for x
    x = 95,101.06/320.04
  6. Step 6: Final answer
    x = 297.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.