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Finding the Fourth Proportional to 205.65, 283.10 and 156.51

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Solution

The fourth proportional to 205.65, 283.10 and 156.51 is: 215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.65 : 283.10 = 156.51 : x
  2. Step 2: Convert to fraction form
    205.65/283.10 = 156.51/x
  3. Step 3: Cross multiply
    205.65x = 283.10 × 156.51
  4. Step 4: Simplify right side
    205.65x = 44,307.20
  5. Step 5: Solve for x
    x = 44,307.20/205.65
  6. Step 6: Final answer
    x = 215.45

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